MCQs of Integrals

Showing 381 to 390 out of 421 Questions

381.

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

= _____ .

382.

\int_{0}^{1} \frac{\tan^{- 1} x}{1 + x^{2}} d x

= _____ .

383.

f (x) = \frac{1}{x^{2}} \int_{4}^{x} \{14 t^{2} - 2 f' (t)\} d t

then f(4) = _____ .

384.

\int f 2^{x} (f' (x) + \log 2 \cdot f (x)) dx

=_____+c

385.

\int \frac{\sin^{- 1} x}{\sqrt{1 + x}} dx =_____+ c

386.

\int e^{\sqrt{x}} dx =_____+ c

387.

\int x^{5} e^{x^{2}} dx = e^{x^{2}} f (x) + c, then f (x) =_____

388.

\int \frac{\sin^{- 1} x}{(1 - x^{2})^{\frac{3}{2}}} dx = \frac{x \sin^{- 1} x}{\sqrt{1 - x^{2}}} + k \log |1 - x^{2}| + c

then k=_____

389.

\int \sin^{- 1} (3 x - 4 x^{2}) dx =_____+ c

where

0 < x < \frac{1}{2}

390.

\frac{d}{dx} f (x) = xcosx + sinx

and f(0)=2 then f(x)_____

Showing 381 to 390 out of 421 Questions