Sr Examen
Integral de 15a(tan^3at*sec^3at)*at dx
Solución
Ha introducido
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1 / | | 3 3 | 15*a*tan (a*t)*sec (a*t)*a*t dt | / 0
$$\int\limits_{0}^{1} t a 15 a \tan^{3}{\left(a t \right)} \sec^{3}{\left(a t \right)}\, dt$$
Integral((((15*a)*(tan(a*t)^3*sec(a*t)^3))*a)*t, (t, 0, 1))
Respuesta (Indefinida)
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/ / | | | 3 3 2 | 3 3 | 15*a*tan (a*t)*sec (a*t)*a*t dt = C + 15*a * | t*sec (a*t)*tan (a*t) dt | | / /
$$\int t a 15 a \tan^{3}{\left(a t \right)} \sec^{3}{\left(a t \right)}\, dt = C + 15 a^{2} \int t \tan^{3}{\left(a t \right)} \sec^{3}{\left(a t \right)}\, dt$$
Respuesta
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1
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2 | 3 3
15*a * | t*sec (a*t)*tan (a*t) dt
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0
$$15 a^{2} \int\limits_{0}^{1} t \tan^{3}{\left(a t \right)} \sec^{3}{\left(a t \right)}\, dt$$
=
=
1
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2 | 3 3
15*a * | t*sec (a*t)*tan (a*t) dt
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0
$$15 a^{2} \int\limits_{0}^{1} t \tan^{3}{\left(a t \right)} \sec^{3}{\left(a t \right)}\, dt$$
15*a^2*Integral(t*sec(a*t)^3*tan(a*t)^3, (t, 0, 1))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.