Utilize o T.F.C para calcular as seguintes integrais: (a) integral0^2(t^2+3 t-1) d t (b) integral1^4 1raizx d x © integral1^2 1+xx^3 d x (d) integral0^12 1raiz1-x^2 d x (e) integral1^4 1+xraizx d x (f) integral0^pi3(sen r+sen 2 r) d r (g) integral0^2 2^z d z (h) integral0^1 cosh s d s (i) integral0^pi x e^x d x. MOSTRAR SOLUÇÃO COMPLETAExercícios relacionadosCalcule: (a) $\int e^{\operatorname{sen} x} \cos x d x$ (b) $\int \frac{e^{t}}{1+e^{2 t}} d t$ (c) $\int \frac{1}{\sqrt{x}+1} d x$ (d) $\int \operatorname{sen}^{2} \theta d \theta$ (e) $\int \frac{1}{y^{2}+6 y+8} d y$ (f) $\int \sqrt{1+\sqrt{x}} d x$.Calcule: (a) integral x e^x d x (b) integral x sen x d x © integral x^2 e^x d x (d) integral x ln x d x (e) integral ln x d x. Utilizando mudança de variável, calcule as seguintes integrais: (a) integral raiz1-4 x^2 d x (b) integral 1raiz4-x^2 d x © integral x^2 raiz1-x^2 d x (d) integral raiz9-4 x^2 d x (e) integral sen theta(cos theta+5)^7 d theta (f) integral raiz-x^2+2 x+2 d x (g) integral raiz9-(x-1)^2 d x (h) integral0^pi2 2raiz1-sen^2(z) d z (i) integral raiz-x^2+2 x+3 d x. Calcule a área da região elíptica E = {(x, y) in R^2 ; (x^2 / a^2) + (y^2 / b^2) <= 1}, sendo a, b > 0.