MCQs of સંકલન

Showing 161 to 170 out of 428 Questions

161.

\int \frac{d x}{x (x^{2014} + 1)} =_____+ c .

162.

\int \frac{\cos 2 x - 1}{\cos 2 x + 1} d x =______

163.

\int \frac{d x}{\sqrt{2 x - x^{2}}} =______

164.

\int \cos e c^{4} x d x =_____

165.

\int \frac{\sin 2 x}{\sin 3 x \sin 5 x} d x =_____

(a)	$\frac{1}{5} \log_{e} \|\sin 5 x\| - \frac{1}{3} \log_{e} \|\sin 3 x\| + c$
(b)	$\frac{1}{3} \log_{e} \|\sin 3 x\| - \frac{1}{5} \log_{e} \|\sin 5 x\| + c$
(c)	$\frac{1}{3} \log_{e} \|\sin 3 x\| + \frac{1}{5} \log_{e} \|\sin 5 x\| + c$
(d)	$- \frac{1}{2} \cos 2 x + \frac{1}{3} \log_{e} \|\sin 3 x\| + \frac{1}{5} \log_{e} \|\sin 5 x\| + c$

166.

\int \frac{s e c x \cos e c x}{2 c o t x - s e c x \cos e c x} d x =_____

167.

\int e^{x} (1 + x) s e c^{2} (x e^{x}) d x = f (x) + c,

તો

f (x) =_____

168.

\int \frac{\sin x + \cos x}{3 + \sin 2 x} d x =_____

(a)	$\frac{1}{4} \log \|\frac{2 + \sin x - \cos x}{2 - \sin x + \cos x}\| + c$
(b)	$\frac{1}{2} \log \|\frac{2 + \sin x}{2 - \sin x}\| + c$
(c)	$\frac{1}{4} \log \|\frac{1 + \sin x}{1 - \sin x}\| + c$
(d)	આ પૈકી એક પણ નહિ

169.

જો

\int \frac{1 + \cos 4 x}{c o t x - \tan x} d x = A \cos 4 x + B,

તો A અને Bના મુલ્યો _____

170.

જો

\int \frac{d x}{x + x^{5}} = f (x) + c,

તો

\int \frac{x^{4}}{x + x^{5}} d x =_____

Showing 161 to 170 out of 428 Questions