MCQs of Integrals

Showing 221 to 230 out of 403 Questions

221.

If f : R → R and g : R → R are continuous functions then

\int_{- \frac{π}{2}}^{\frac{π}{2}} {f (x) + f (- x)} {g (x) - g (- x)} d x

= _____

222.

\int_{- 1}^{1} \sin^{11} x d x

= _____

(a)	0
(b)	1
(c)	$\frac{10}{11} x \frac{8}{9} x \frac{6}{7} x \frac{4}{6} x \frac{2}{3}$
(d)	$\frac{10}{11} x \frac{8}{9} x \frac{6}{7} x \frac{4}{5} x \frac{2}{3} x \frac{π}{2}$

223.

\int_{- 1}^{1} \frac{e^{x} + 1}{e^{x} - 1} d x

= _____

224.

f (x) = \int_{1}^{x} \sqrt{2 - t^{2}} dt

, then solution of x² - f'(x) = 0 is _____

225.

\int_{0}^{1000} e^{x - [x]} d x

= _____

226.

\int_{- π}^{π} (\cos p t - \sin q t)^{2} d t

= _____ where p and q ∈ z - {0}

227.

\int_{0}^{1} \frac{d x}{x^{2} + 2 x \cos α + 1}

= _____

228.

\int_{- \frac{π}{2}}^{\frac{π}{2}} \sqrt{\frac{1 - \cos 2 x}{2}} d x

= _____

229.

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

= _____

230.

\int_{0}^{2 π} |\cos x - \sin x| d x

= _____

Showing 221 to 230 out of 403 Questions