MCQs of સંકલન

Showing 261 to 270 out of 428 Questions

261.

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

dx = _____

262.

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

= _____ .

263.

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

= _____ .

264.

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

= _____

265.

I = \int_{0}^{\frac{π}{2}} \cos (\sin x) dx

J = \int_{0}^{\frac{π}{2}} \sin (\cos x) dx

અને

K = \int_{0}^{\frac{π}{2}} \cos x dx

હોય તો _____ .

266.

\int_{- 2}^{2} (\sin^{2011} x + x^{2013}) d x

= _____

267.

જો

I = \int_{0}^{3 π} f (\cos^{2} x) d x

અને

J = \int_{0}^{π} f (\cos^{2} x) d x

હોય તો _____ .

268.

\int_{0}^{\frac{2}{3}} \frac{d x}{4 + 9 x^{2}}

= _____

269.

જો

h (x) = \int_{0}^{x} \sin^{4} t dt

હોય તો h(x+π) = _____ .

270.

જો

I_{1} = \int_{0}^{\frac{π}{4}} \sin^{2} x d x

અને

I_{2} = \int_{0}^{\frac{π}{4}} \cos^{2} x d x

હોય તો _____

Showing 261 to 270 out of 428 Questions