MCQs of સંકલન

Showing 321 to 330 out of 428 Questions

321.

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

= _____

322.

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

= _____

323.

જો f(x) અયુગ્મ વિધેય હોય તો

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

= _____

324.

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

= _____

325.

\int_{- 1}^{1} \sin^{11} x d x

= _____

(a)	0
(b)	1
(c)	$\frac{10}{11} \times \frac{8}{9} \times \frac{6}{7} \times \frac{4}{5} \times \frac{2}{3}$
(d)	$\frac{10}{11} \times \frac{8}{9} \times \frac{6}{7} \times \frac{4}{5} \times \frac{2}{3} \times \frac{π}{2}$

326.

\int_{- 1}^{1} \frac{e^{x} + 1}{e^{x} - 1} d x

= _____

327.

જો

f (x) = \int_{1}^{x} \sqrt{2 - t^{2}} d t

હોય તો

x^{2} - f' (x) = 0

નો ઉકેલ _____ છે.

328.

\int_{0}^{1000} e^{x - [x]} d x

= _____

329.

\int_{- π}^{π} {(\cos p t - \sin q t)}^{2} d t

= _____ જ્યાં p અને q ∈ z - {0}

330.

\int_{0}^{1} \frac{d x}{x^{2} + 2 x cosα + 1}

= _____

Showing 321 to 330 out of 428 Questions