Calcule:
(a) integral x e^x d x
(b) integral x^2 e^x d x
© integral x ln x d x
(d) integral x^2 ln x d x
(e) integral x^2 sin x d x

Exercícios relacionados

Calcule: (a) $\int_{0}^{1} x e^{x} d x$ (b) $\int_{0}^{\pi} x^{3} \cos \left(x^{2}\right) d x$
Calcule, utilizando mudança de variáveis, as seguintes integrais:
(a) integral raiz3 x-2 d x
(b) integral 11+9 x^2 d x
© integral sen^5(x) cos (x) d x
(d) integral x(1+4 x^2)^2 d x
(e) integral e^x raiz1+e^x d x
(f) integral 2 x+3raiz1-4 x^2 d x
(g) integral 1raiz1-(ln x)^2 d x.
Calcule:
(a) integral e^sin x cos x d x
(b) integral e^t1+e^2 t d t
© integral 1raizx+1 d x
(d) integral sin^2 theta d theta
(e) integral raizcos (3 t) sin(3 t) d t
(f) integral 1y^2+6 y+8 d y
(g) integral (2 x + 1) e^x^2 e^x d x
Derive a função
f(x)=(1+x^(-1))^2