1 / | | / 2 \ | atan\t + t - 2/ dt | / 0
Integral(atan(t^2 + t - 2), (t, 0, 1))
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______________________________________________ \ / _________________ | / _____________ | / _____________ _____________ _____________ _____________ / _____________ | / _____________ _____________ _____________ _____________ / _____________ _____________ / _____________ | _________________ | / _____________ | / _____________ _____________ _____________ _____________ / _____________ | _____________ _____________ / _____________ _____________ / _____________ _____________ / _____________ | / / _____________ | / _____________ _____________ _____________ _____________ / _____________ | / / _____________ | / _____________ _____________ _____________ _____________ / _____________ | | / / 2 3\\ / ____ | / ____ _____ / ____ ____ | ____ / ____ _____ / ____ ___ / ____ _____ / ____ _____ / ____ / ____ _____ / ____ | ____ / ____ _____ / ____ ___ / ____ _____ / ____ ___ / ____ / ____ _____ / ____ _____ / ____ / ____ _____ / ____ | / ____ | / ____ _____ / ____ ____ | / ____ _____ / ____ ____ _____ / ____ ___ / ____ _____ / ____ / ____ _____ / ____ | _____ / ____ ___ / ____ ____ / ____ _____ / ____ ___ / ____ / ____ _____ / ____ _____ / ____ / ____ _____ / ____ | / / ____ _____ / ____ ____ | / ____ _____ / ____ ____ ___ / ____ _____ / ____ _____ / ____ / ____ _____ / ____ | / / ____ _____ / ____ ____ | ____ / ____ _____ / ____ _____ / ____ ___ / ____ _____ / ____ / ____ _____ / ____ | | / 2 \ | 4 2 | 186785 874940*t 402308*t 1062344*t || / 2 \ / 9 \/ 97 |314054675 2 20241091*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 373219457*\/ 97 |232 98*\/ 97 196*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 185*\/ 2 *\/ -9 + \/ 97 1711*\/ 194 *\/ -9 + \/ 97 185*\/ 194 *\/ -9 + \/ 97 *\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 | 120469*\/ 97 *\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 1707863*\/ 2 *\/ -9 + \/ 97 15807673*\/ 194 *\/ -9 + \/ 97 9065*\/ 2 *\/ -9 + \/ 97 *\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 13639*\/ 194 *\/ -9 + \/ 97 *\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 | / 9 \/ 97 |314054675 2 20241091*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 373219457*\/ 97 |232 196*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 98*\/ 97 1711*\/ 194 *\/ -9 + \/ 97 185*\/ 2 *\/ -9 + \/ 97 185*\/ 194 *\/ -9 + \/ 97 *\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 | 15807673*\/ 194 *\/ -9 + \/ 97 1707863*\/ 2 *\/ -9 + \/ 97 120469*\/ 97 *\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 9065*\/ 2 *\/ -9 + \/ 97 *\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 13639*\/ 194 *\/ -9 + \/ 97 *\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 | / 185 \/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 3*\/ 97 | 270048 76048*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 38024*\/ 97 1655208*t 35890*\/ 2 *\/ -9 + \/ 97 15399*\/ 194 *\/ -9 + \/ 97 555*\/ 194 *\/ -9 + \/ 97 *\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 | / 185 \/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 3*\/ 97 | 270048 38024*\/ 97 76048*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 1655208*t 15399*\/ 194 *\/ -9 + \/ 97 35890*\/ 2 *\/ -9 + \/ 97 555*\/ 194 *\/ -9 + \/ 97 *\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 | | atan\t + t - 2/ dt = C - 2*RootSum|1552*t + 732*t - 96*t + 25, t -> t*log|- ------ + t - --------- + -------- + ----------|| + t*atan\t + t - 2/ + / - ---- + ------ *log|--------- + t - ----------------------------------------------------------- + ---------------- + t*|--- + --------- + ------------------------------------------------------ + -------------------------- + ----------------------------- + -------------------------------------------------------------------------------| + ---------------------------------------------------------------- + ------------------------------ + --------------------------------- + ------------------------------------------------------------------------------ + ---------------------------------------------------------------------------------| - / - ---- + ------ *log|--------- + t + ----------------------------------------------------------- + ---------------- + t*|--- - ------------------------------------------------------ + --------- - ----------------------------- - -------------------------- + -------------------------------------------------------------------------------| - --------------------------------- - ------------------------------ - ---------------------------------------------------------------- + ------------------------------------------------------------------------------ + ---------------------------------------------------------------------------------| + 2* / ---- - -------------------------------------------------- + -------- *atan|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + 2* / ---- + -------------------------------------------------- + -------- *atan|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| | \ \ 137663 137663 137663 137663 // \/ 3104 3104 \588426444 1765279332 1765279332 \711 2133 2133 4266 91956 275868 / 21793572 18198756 1765279332 4549689 147106611 / \/ 3104 3104 \588426444 1765279332 1765279332 \711 2133 2133 91956 4266 275868 / 1765279332 18198756 21793572 4549689 147106611 / \/ 3104 776 3104 | _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ | \/ 3104 776 3104 | _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ | / | / ______________________________________________ / ______________________________________________ / ______________________________________________ ______________________________________________ / ______________________________________________ / ______________________________________________ / ______________________________________________ ______________________________________________ / ______________________________________________ / ______________________________________________ / ______________________________________________ ______________________________________________ / ______________________________________________ / ______________________________________________ / ______________________________________________ ______________________________________________ / ______________________________________________ / ______________________________________________ / ______________________________________________ ______________________________________________ / ______________________________________________ / ______________________________________________ / ______________________________________________ ______________________________________________ / ______________________________________________ / ______________________________________________ / ______________________________________________ ______________________________________________| | / ______________________________________________ / ______________________________________________ / ______________________________________________ ______________________________________________ / ______________________________________________ / ______________________________________________ / ______________________________________________ ______________________________________________ / ______________________________________________ / ______________________________________________ / ______________________________________________ ______________________________________________ / ______________________________________________ / ______________________________________________ / ______________________________________________ ______________________________________________ / ______________________________________________ / ______________________________________________ / ______________________________________________ ______________________________________________ / ______________________________________________ / ______________________________________________ / ______________________________________________ ______________________________________________ / ______________________________________________ / ______________________________________________ / ______________________________________________ ______________________________________________| | / / _____________ _____________ / / _____________ / / _____________ / _____________ / / _____________ _____________ / / _____________ / / _____________ / _____________ / / _____________ _____________ / / _____________ / / _____________ / _____________ / / _____________ _____________ / / _____________ / / _____________ / _____________ / / _____________ _____________ / / _____________ / / _____________ / _____________ / / _____________ _____________ / / _____________ / / _____________ / _____________ / / _____________ _____________ / / _____________ / / _____________ / _____________ | | _____________ / / _____________ / / _____________ / / _____________ / _____________ _____________ / / _____________ / / _____________ / / _____________ / _____________ _____________ / / _____________ / / _____________ / / _____________ / _____________ _____________ / / _____________ / / _____________ / / _____________ / _____________ _____________ / / _____________ / / _____________ / / _____________ / _____________ _____________ / / _____________ / / _____________ / / _____________ / _____________ _____________ / / _____________ / / _____________ / / _____________ / _____________ | | _____ / / ____ _____ / ____ ____ / ____ / / ____ _____ / ____ ____ _____ / / ____ _____ / ____ ____ / ____ _____ / ____ _____ / / ____ _____ / ____ ____ / ____ / / ____ _____ / ____ ____ _____ / / ____ _____ / ____ ____ / ____ _____ / ____ _____ / / ____ _____ / ____ ____ / ____ / / ____ _____ / ____ ____ _____ / / ____ _____ / ____ ____ / ____ _____ / ____ _____ / / ____ _____ / ____ ____ / ____ / / ____ _____ / ____ ____ _____ / / ____ _____ / ____ ____ / ____ _____ / ____ _____ / / ____ _____ / ____ ____ / ____ / / ____ _____ / ____ ____ _____ / / ____ _____ / ____ ____ / ____ _____ / ____ _____ / / ____ _____ / ____ ____ / ____ / / ____ _____ / ____ ____ _____ / / ____ _____ / ____ ____ / ____ _____ / ____ _____ / / ____ _____ / ____ ____ / ____ / / ____ _____ / ____ ____ _____ / / ____ _____ / ____ ____ / ____ _____ / ____ | | / ____ / ____ / ____ _____ / ____ _____ / ____ / ____ _____ / ____ _____ / ____ / ____ _____ / ____ / ____ _____ / ____ / ____ / ____ / ____ _____ / ____ _____ / ____ / ____ _____ / ____ _____ / ____ / ____ _____ / ____ / ____ _____ / ____ / ____ / ____ / ____ _____ / ____ _____ / ____ / ____ _____ / ____ _____ / ____ / ____ _____ / ____ / ____ _____ / ____ / ____ / ____ / ____ _____ / ____ _____ / ____ / ____ _____ / ____ _____ / ____ / ____ _____ / ____ / ____ _____ / ____ / ____ / ____ / ____ _____ / ____ _____ / ____ / ____ _____ / ____ _____ / ____ / ____ _____ / ____ / ____ _____ / ____ / ____ / ____ / ____ _____ / ____ _____ / ____ / ____ _____ / ____ _____ / ____ / ____ _____ / ____ / ____ _____ / ____ / ____ / ____ / ____ _____ / ____ _____ / ____ / ____ _____ / ____ _____ / ____ / ____ _____ / ____ / ____ _____ / ____ | \- 881*\/ 194 *\/ 185 - 4*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 + 3*\/ 97 + 38024*\/ -9 + \/ 97 *\/ 185 - 4*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 + 3*\/ 97 - 185*\/ 194 *\/ 185 - 4*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 + 3*\/ 97 *\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 - 881*\/ 194 *\/ 185 - 4*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 + 3*\/ 97 + 38024*\/ -9 + \/ 97 *\/ 185 - 4*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 + 3*\/ 97 - 185*\/ 194 *\/ 185 - 4*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 + 3*\/ 97 *\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 - 881*\/ 194 *\/ 185 - 4*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 + 3*\/ 97 + 38024*\/ -9 + \/ 97 *\/ 185 - 4*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 + 3*\/ 97 - 185*\/ 194 *\/ 185 - 4*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 + 3*\/ 97 *\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 - 881*\/ 194 *\/ 185 - 4*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 + 3*\/ 97 + 38024*\/ -9 + \/ 97 *\/ 185 - 4*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 + 3*\/ 97 - 185*\/ 194 *\/ 185 - 4*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 + 3*\/ 97 *\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 - 881*\/ 194 *\/ 185 - 4*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 + 3*\/ 97 + 38024*\/ -9 + \/ 97 *\/ 185 - 4*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 + 3*\/ 97 - 185*\/ 194 *\/ 185 - 4*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 + 3*\/ 97 *\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 - 881*\/ 194 *\/ 185 - 4*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 + 3*\/ 97 + 38024*\/ -9 + \/ 97 *\/ 185 - 4*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 + 3*\/ 97 - 185*\/ 194 *\/ 185 - 4*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 + 3*\/ 97 *\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 - 881*\/ 194 *\/ 185 - 4*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 + 3*\/ 97 + 38024*\/ -9 + \/ 97 *\/ 185 - 4*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 + 3*\/ 97 - 185*\/ 194 *\/ 185 - 4*\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 + 3*\/ 97 *\/ 481 + 44*\/ 97 + 2*\/ 194 *\/ -9 + \/ 97 / \- 38024*\/ -9 + \/ 97 *\/ 185 + 3*\/ 97 + 4*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 - 881*\/ 194 *\/ 185 + 3*\/ 97 + 4*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 + 185*\/ 194 *\/ 185 + 3*\/ 97 + 4*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 *\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 - 38024*\/ -9 + \/ 97 *\/ 185 + 3*\/ 97 + 4*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 - 881*\/ 194 *\/ 185 + 3*\/ 97 + 4*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 + 185*\/ 194 *\/ 185 + 3*\/ 97 + 4*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 *\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 - 38024*\/ -9 + \/ 97 *\/ 185 + 3*\/ 97 + 4*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 - 881*\/ 194 *\/ 185 + 3*\/ 97 + 4*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 + 185*\/ 194 *\/ 185 + 3*\/ 97 + 4*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 *\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 - 38024*\/ -9 + \/ 97 *\/ 185 + 3*\/ 97 + 4*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 - 881*\/ 194 *\/ 185 + 3*\/ 97 + 4*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 + 185*\/ 194 *\/ 185 + 3*\/ 97 + 4*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 *\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 - 38024*\/ -9 + \/ 97 *\/ 185 + 3*\/ 97 + 4*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 - 881*\/ 194 *\/ 185 + 3*\/ 97 + 4*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 + 185*\/ 194 *\/ 185 + 3*\/ 97 + 4*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 *\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 - 38024*\/ -9 + \/ 97 *\/ 185 + 3*\/ 97 + 4*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 - 881*\/ 194 *\/ 185 + 3*\/ 97 + 4*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 + 185*\/ 194 *\/ 185 + 3*\/ 97 + 4*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 *\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 - 38024*\/ -9 + \/ 97 *\/ 185 + 3*\/ 97 + 4*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 - 881*\/ 194 *\/ 185 + 3*\/ 97 + 4*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 + 185*\/ 194 *\/ 185 + 3*\/ 97 + 4*\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 *\/ 481 + 44*\/ 97 - 2*\/ 194 *\/ -9 + \/ 97 /
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.