MCQs of સંકલન

Showing 321 to 330 out of 440 Questions

321.

\int_{0}^{\infty} \frac{1}{1 + e^{x}} d x

= _____

322.

જો

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

તો I₈ + I₆ = _____

323.

\int_{0}^{π} \cos^{2} x \cos^{3} (2 n + 1) x d x

= _____, n ∈ z

324.

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

= _____

325.

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

= _____

326.

\int_{0}^{π / 2} \frac{(\sin x)^{2006}}{(\sin x)^{2006} + (\cos x)^{2006}} d x

= _____

327.

\int_{0}^{\frac{π}{2}} \frac{2008^{\sin x}}{2008^{\sin x} + 2008^{\cos x}} d x

= _____

328.

\int_{π}^{\frac{3 π}{2}} (\frac{5 π}{x} x - x^{2}) \cos 2 x d x

= _____

329.

જો f(x) અયુગ્મ વિધેય હોય તો

\int_{\frac{- π}{2}}^{\frac{π}{2}} f (\cos x) d x

= _____

330.

જો f : R → R અને g : R → R સતત વિધેયો હોય તો

\int_{\frac{- π}{2}}^{\frac{π}{2}} \{f (x) + f (- x)\} \{g (x) - g (- x)\} d x

= _____

Showing 321 to 330 out of 440 Questions