MCQs of Integrals

Showing 401 to 410 out of 421 Questions

401.

\int \cos x \sqrt{4 - \sin^{2} x} dx

= f (x) \sqrt{4 - \sin^{2} x} + 2 \sin^{- 1} (f (x)) + c

then f(x)=_____

402.

\int (\frac{1 + x}{x^{2}}) e^{- x} dx

=_____+c

403.

\int \frac{x}{(x + 1)^{2}} e^{x} dx

=_____+c

404.

\int \frac{e^{x}}{x + 2} (1 + (x + 2) \log (x + 2)) dx

=_____+c

405.

\int {(x + 1)}^{2} e^{x} dc

406.

\int e^{x} (1 + \tan x + \tan^{2} x) dx

=_____+c

407.

\frac{d}{dx} g (x) = g (x)

then

408.

\int (x - 1) e^{- x} dx

=_____+c

409.

\int [\log {\log (\log x)} + \frac{1}{\log x \cdot \log (\log x)}] dx

=_____+c

410.

\int \frac{\log x}{(1 + \log x)^{2}} dx

=_____+c

Showing 401 to 410 out of 421 Questions