MCQs of સંકલન

Showing 271 to 280 out of 440 Questions

271.

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 _____ .

272.

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

= _____

273.

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 _____ .

274.

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

= _____

275.

જો

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

હોય તો h(x+π) = _____ .

276.

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 _____

277.

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

= _____

278.

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

= _____

279.

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

= _____

280.

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

= _____ .

Showing 271 to 280 out of 440 Questions