Calcule as seguintes integrais indefinidas:
(a) integral 3 d x
(b) integral(a x+b) d x
© integral(3 raiz[5]x^2+3) d x
(d) integral x^2+1x d x
(e) integral sen 5 x d x
(f) integral(5 e^7 t+e^-t+cos 7 t) d t.

Exercícios relacionados

Calcule as seguintes integrais: (a) $\int_{0}^{4}|x-3| d x$ (b) $\int_{-2}^{2}(|x|+1) d x$ (c) $\int_{-\pi}^{\pi} \frac{\sin x}{x^{4}+\sin^{2} x+1} d x$.
Use a 2^ a parte do T.F.C. para calcular a integral, ou explique por que ela não existe:
(a) integral-1^3 x^5 d x
(b) integral2^8(4 x+3) d x
© integral0^4 raizx d x
(d) integral1^2 3t^4 d t
(e) integral0^4(1+3 y-y^2) d y
(f) integral3^3 raizx^5+2 d x
(g) integral-4^2 2x^6 d x
(h) integral-1^1 d x
(i) integralpi2^pi sec (x) tg(x) d x.
(j) integralln 3^ln 6 8 e^s d s
(k) integral-infty^infty x d x.
Calcule: (a) $\int_{0}^{1} \frac{1}{(x+1)^{5}} d x$ (b) $\int_{-1}^{0} t^{2} \sqrt{1+t^{3}} d t$ (c) $\int_{0}^{1} \frac{x}{(x+1)^{5}} d x$ (d) $\int_{0}^{1} \frac{s}{\sqrt{s^{2}+1}} d s$ (e) $\int_{0}^{1} x \sqrt{1+2 x^{2}} d x$ (f) $\int_{0}^{3} \frac{x}{\sqrt{x+1}} d x$ (g) $\int_{0}^{3} \frac{x}{\sqrt{x+1}^3} d x$ (h) $\int_{-2}^{2} (|x|+1) d x$ (i) $\int_{-1}^{1} x^{3}\left(x^{2}+3\right)^{10} d x$ (j) $\int_{0}^{\frac{\pi}{3}} \operatorname{sen}(x) \cos ^{2}(x) d x$.
Calcule:
(a) integral 1x^2-4 d x
(b) integral xx^2-5 x+6 d x
© integral 2 x+1x^2-1 d x
(d) integral x+1x(x-2)(x+3) d x
(e) integral x^2+3 x+1x^2-2 x-3 d x