Sr Examen
Integral de sin^-1(1+sec^2x)secxtanxdx dx
Solución
Ha introducido
[src]
1 / | | sec(x) | ----------------*tan(x) dx | / 2 \ | sin\1 + sec (x)/ | / 0
$$\int\limits_{0}^{1} \frac{\sec{\left(x \right)}}{\sin{\left(\sec^{2}{\left(x \right)} + 1 \right)}} \tan{\left(x \right)}\, dx$$
Integral((sec(x)/sin(1 + sec(x)^2))*tan(x), (x, 0, 1))
Respuesta (Indefinida)
[src]
/ / | | | sec(x) | sec(x)*tan(x) | ----------------*tan(x) dx = C + | ---------------- dx | / 2 \ | / 2 \ | sin\1 + sec (x)/ | sin\1 + sec (x)/ | | / /
$$\int \frac{\sec{\left(x \right)}}{\sin{\left(\sec^{2}{\left(x \right)} + 1 \right)}} \tan{\left(x \right)}\, dx = C + \int \frac{\tan{\left(x \right)} \sec{\left(x \right)}}{\sin{\left(\sec^{2}{\left(x \right)} + 1 \right)}}\, dx$$
Respuesta
[src]
1 / | | sec(x)*tan(x) | ---------------- dx | / 2 \ | sin\1 + sec (x)/ | / 0
$$\int\limits_{0}^{1} \frac{\tan{\left(x \right)} \sec{\left(x \right)}}{\sin{\left(\sec^{2}{\left(x \right)} + 1 \right)}}\, dx$$
=
=
1 / | | sec(x)*tan(x) | ---------------- dx | / 2 \ | sin\1 + sec (x)/ | / 0
$$\int\limits_{0}^{1} \frac{\tan{\left(x \right)} \sec{\left(x \right)}}{\sin{\left(\sec^{2}{\left(x \right)} + 1 \right)}}\, dx$$
Integral(sec(x)*tan(x)/sin(1 + sec(x)^2), (x, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.