MCQs of સંકલન

Showing 281 to 290 out of 440 Questions

281.

\int_{0}^{1} x {(1 - x)}^{99}

dx = _____ .

282.

\int_{0}^{π} \cos^{3} 3 x d x

= _____ .

283.

જો

g (x) = \int_{0}^{x} \cos^{4} t dt

હોય તો g(x + π) = _____ .

284.

જો

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

હોય તો

\frac{1}{I_{3} + I_{5}}

= _____

285.

\int_{0}^{π} e^{x} \cos 2 x d x

= _____

286.

\int_{- 1}^{1} \frac{17 x^{5} - x^{4} + 29 x^{3} - 31 x + 1}{x^{2} + 1} dx

= _____ .

287.

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

= _____

288.

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

= _____

289.

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

= _____

290.

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

= _____

Showing 281 to 290 out of 440 Questions