MCQs of Integrals

Showing 341 to 350 out of 421 Questions

341.

\int_{0}^{13} e^{\sqrt[3]{2 x + 1}} d x

= _____ .

342.

\int_{- \frac{π}{2}}^{\frac{π}{2}} \frac{\sin^{3} x \cos^{3} x}{\cos^{2} x - \sin^{2} x} d x

= _____ .

343.

\int_{0}^{\frac{π}{4}} |\sin x - \cos x| d x

= _____ .

344.

\int_{2 - \log 3}^{3 + \log 3} \frac{\log (4 + x)}{\log (4 + x) + \log (9 - x)} d x

= _____ .

345.

\int_{0}^{10 π} |\sin x| d x

= _____ .

346.

\int_{0}^{π} x f (\sin x) d x = A \int_{0}^{\frac{π}{2}} f (\sin x) d x

then A = _____ .

347.

\int_{0}^{\frac{π}{2}} \frac{{(\sin x + \cos x)}^{2}}{\sqrt{1 + \sin 2 x}} d x

= _____ .

348.

\lim_{n \to \infty} \sum_{r = 1}^{n} \frac{1}{n} e^{\frac{r}{n}}

= _____ .

349.

I f f (x) = \{\begin{cases} e^{\cos x} \sin x, (w h e r e |x| \leq 2) t h e n O R \\ 2 \end{cases} \int_{- 2}^{3} f (x) d x =

_____.

350.

\int_{- π}^{π} \frac{\cos^{2} x}{1 + a^{x}} d x, a > 0

= _____ .

Showing 341 to 350 out of 421 Questions