MCQs of Integrals | GUJCET MCQ

Integrals MCQs

MCQs of Integrals

Showing 401 to 403 out of 403 Questions

401.

\int {(\frac{logx - 1}{1 + (logx)^{2}})}^{2} dx

=_____+c

(a)	$\frac{x}{x^{2} + 1}$
(b)	$\frac{logx}{(logx)^{2} + 1}$
(c)	$\frac{x}{(logx)^{2} + 1}$
(d)	$\frac{{xe}^{x}}{x^{2} + 1}$

402.

\int \frac{1}{x (x^{5} + 1)} dx

=_____+c

(a)	$\frac{1}{5} \log \|\frac{x^{5}}{x^{5} + 1}\|$
(b)	$\log \|\frac{x^{5}}{x^{5} + 1}\|$
(c)	$\frac{1}{6} \log \|\frac{x^{6}}{x^{6} + 1}\|$
(d)	$\log \|\frac{x}{x + 1}\|$

403.

If

\int \frac{dx}{x - x^{7}} = p (x)

, then

\int \frac{x^{6}}{x - x^{7}} dx

=_____

(a)	In \|x\|-p(x)+c
(b)	In \|x\|+p(x)+c
(c)	x-p(x)+c
(d)	c+p(x)+c

Showing 401 to 403 out of 403 Questions