MCQs of સંકલન

Showing 351 to 360 out of 440 Questions

351.

\lim_{n \to \infty} \frac{1 + 2^{4} + 3^{4} + . . . + n^{4}}{n^{5}} - \lim_{n \to \infty} \frac{1 + 2^{3} + 3^{3} + . . . + n^{3}}{n^{5}}

= _____

352.

\lim_{n \to \infty} \sum_{r = 1}^{n} \frac{1}{n} e^{\frac{r}{n}}

= _____

353.

\int_{- 2}^{3} |1 - x^{2}| d x

= _____

354.

\int_{0}^{\frac{π}{2}} \frac{{(\sin x + \cos x)}^{2}}{\sqrt{1 + \sin 2 x}} d x

= _____

355.

\int_{3}^{6} \frac{\sqrt{x}}{\sqrt{9 - x} + \sqrt{x}} d x

ની કિંમત _____ છે.

356.

\int_{0}^{π} x f (\sin x) d x

= _____

357.

\int_{\frac{- 3 π}{2}}^{\frac{- π}{2}} [{(x + π)}^{3} + \cos^{2} (x + 3 π)] d x

= _____

358.

\int_{\sqrt{2}}^{x} \frac{d t}{t \sqrt{t^{2} - 1}} = \frac{π}{2}

નો ચલ x માટે ઉકેલ _____ છે.

359.

\int_{0}^{π} [\cot x] d x

= _____

360.

\int e^{sinθ} (\log sinθ + {cosec}^{2} θ) cosθ d θ

= _____ + c

Showing 351 to 360 out of 440 Questions