MCQs of સંકલન

Showing 381 to 390 out of 428 Questions

381.

\int e^{2 x} \sin x \cos x d x = \frac{e^{2 x}}{8} f (x) + c

તો

f (\frac{π}{4})

= _____

382.

\int e^{x} \cos x d x = \frac{e^{x}}{2} f (x) + C

તો f(x) ના વિસ્તાર _____ છે.

383.

\int [f (x) g " (x) - f " (x) g (x)] d x

= _____

384.

\int \cos x \log (\tan \frac{x}{2}) d x

= _____ + c

385.

\int e^{x} . x^{n} d x

= _____ + c

386.

\int \frac{1}{x (x^{5} + 1)} d x

= _____ + c

387.

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

= _____ + c

388.

જો

\int \frac{d x}{x + x^{7}} = p (x)

, તો

\int \frac{x^{6}}{x + x^{7}} d x

= _____

389.

\int \frac{d^{2}}{d x^{2}} (\tan^{- 1} x) d x =_____+ c

390.

\int e^{\frac{x}{\sqrt{2}}} \cos (\frac{x}{\sqrt{2}}) d x =_____+ c

(a)	$e^{\frac{x}{\sqrt{2}}} \sin (\frac{x}{\sqrt{2}} - \frac{π}{4})$
(b)	$e^{\frac{x}{\sqrt{2}}} \sin (\frac{x}{\sqrt{2}} + \frac{π}{4})$
(c)	$e^{\frac{x}{\sqrt{2}}} \cos (\frac{x}{\sqrt{2}} + \frac{π}{4})$
(d)	આ પૈકી એક પણ નહીં.

Showing 381 to 390 out of 428 Questions