MCQs of Integrals

Showing 141 to 150 out of 403 Questions

141.

\int_{0}^{\frac{π}{2}} \frac{d x}{1 + \sin x} =

_____

142.

If f (x) = \int_{0}^{x} t \sin t d t then, f' (x) =

_____

143.

\int_{- 3}^{3} |x| d x =

_____

144.

g (x) = \int_{0}^{x} \cos^{2} t d t then g (x + π) =

_____

145.

If \int_{0}^{1} x (1 - x)^{49} d x = I then \frac{1}{I} =

_____

146.

\int_{0}^{π} \sin \frac{x}{2} \cos \frac{x}{2} d x =

_____

147.

\int \frac{1}{x^{2} {(x^{4} + 1)}^{\frac{3}{4}}}

dx = _____ + c

(a) ${(1 + x^{- 4})}^{\frac{1}{4}}$

(b) $- {(1 + x^{- 4})}^{\frac{1}{4}}$

(c) $- \frac{1}{4} {(1 + x^{- 4})}^{\frac{1}{4}}$

(d) $- (1 + x^{- 4})$

148.

\int_{1}^{e} \log x d x =

_____

149.

\int_{0}^{a} \sqrt{a^{2} - x^{2}} d x =

_____

150.

\int_{0}^{\frac{π}{2}} \sin^{8} x \cos x d x =

_____

Showing 141 to 150 out of 403 Questions