Calcule as seguintes integrais: (a) $\int_{0}^{4}|x-3| d x$ (b) $\int_{-2}^{2}(|x|+1) d x$ (c) $\int_{-\pi}^{\pi} \frac{\sin x}{x^{4}+\sin^{2} x+1} d x$.
Exercícios relacionados
Use a
parte do T.F.C. para calcular a integral, ou explique por que ela não existe:
(a)
(b)
©
(d)
(e)
(f)
(g)
(h)
(i) .
(j)
(k) .
(a)
(b)
©
(d)
(e)
(f)
(g)
(h)
(i)
(j)
(k)
Calcule os logaritmos sem usar calculadora.
(q)
(q)
Calcule as seguintes integrais indefinidas:
(a)
(b)
©
(d)
(e)
(f) .
(a)
(b)
©
(d)
(e)
(f)
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) $\int_{0}^{\frac{\pi}{3}} \operatorname{sen}(x) \cos ^{2}(x) d x$.