MCQs of સંકલન

Showing 261 to 270 out of 440 Questions

261.

\int_{0}^{2} \frac{x^{3}}{{(x^{2} + 1)}^{\frac{3}{2}}} dx

= _____ .

262.

\int_{0}^{\frac{π}{4}} \frac{\sin^{9} x}{\cos^{11} x} d x

= _____ .

263.

જો

\int_{1}^{a} (4 x^{3} + 2 x + 1)

dx = 19 હોય તો a = _____

264.

\int_{0}^{\frac{π}{2}} (\cos x - \sin x) e^{x} d x

= _____ .

265.

જો

\int_{0}^{π} x f (\sin x) d x = A \int_{0}^{\frac{π}{2}} f (\sin x) d x

હોય તો A = _____ .

266.

\int_{0}^{\sqrt{2}} \sqrt{2 - x^{2}}

dx = _____

267.

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

= _____ .

268.

\int_{\frac{1}{e}}^{e^{2}} |\frac{\log_{e} x}{x}| d x

= _____ .

269.

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

= _____ .

270.

\int_{1}^{2} e^{x} (\frac{1}{x} - \frac{1}{x^{2}}) d x

= _____

Showing 261 to 270 out of 440 Questions