MCQs of સંકલન

Showing 281 to 290 out of 428 Questions

281.

\int_{0}^{\frac{π}{2}} \tan^{2} \frac{θ}{2} d θ

= _____

282.

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

= _____

283.

\int_{0}^{\sin^{2} θ} \sin^{- 1} \sqrt{ϕ} dϕ + \int_{0}^{\cos^{2} θ} \cos^{- 1} \sqrt{ϕ} dϕ

= _____

284.

\int_{1}^{3} \log x dx

= _____

285.

\int_{0}^{π} \sin^{4} x \cos^{3} x d x

= _____

286.

\int_{0}^{3} \frac{3 x + 1}{x^{2} + 9} d x

= _____

287.

જો

I_{n} = \int_{0}^{\frac{π}{4}} \tan^{n} θ d θ

હોય તો

I_{8} + I_{6}

= _____

288.

\int_{0}^{3} |x^{3} + x^{2} + 3 x| dx

= _____ .

289.

\int_{1}^{e} (1 + \log x) \frac{e^{x}}{x} d x

= _____

290.

\int_{0}^{3 a} \frac{f (x)}{f (x) + f (3 a - x)} d x

= _____

Showing 281 to 290 out of 428 Questions