MCQs of સંકલન

Showing 271 to 280 out of 428 Questions

271.

\int_{2}^{4} \frac{\log x^{2}}{\log x^{2} + \log (36 - 12 x + x^{2})} dx

= _____

272.

\int_{0}^{π} \sin 2 x \cdot \cos^{2} 3 x d x

= _____

273.

\int_{0}^{1} x {(1 - x)}^{n} dx

= _____

274.

\int_{0}^{\log 5} \frac{e^{x} \sqrt{e^{x} - 1}}{e^{x} + 3} dx

= _____ .

275.

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

dx = _____ .

276.

\int_{0}^{π} \cos^{3} 3 x d x

= _____ .

277.

જો

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

હોય તો g(x + π) = _____ .

278.

જો

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

હોય તો

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

= _____

279.

\int_{0}^{π} e^{x} \cos 2 x d x

= _____

280.

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

= _____ .

Showing 271 to 280 out of 428 Questions