MCQs of સંકલન | GUJCET MCQ

સંકલન MCQs

MCQs of સંકલન

Showing 81 to 90 out of 440 Questions

81.

\int \frac{1}{f (x)} d x = \log {[f (x)]}^{n}

તો f (x) = _____ + c

(a)	xⁿ
(b)	x
(c)	$\frac{x}{n}$
(d)	nx

82.

યુગ્મ વિધેયનું સંકલિત _____ વિધેય છે.

(a)	અયુગ્મ
(b)	યુગ્મ
(c)	વધતું
(d)	આપેલ પેૈૈકી એક પણ નહી.

83.

જો f' (x) = g' (x) તો _____ થાય.

(a)	f (x) = g (x) + c
(b)	f (x) . g (x) = c
(c)	f (x) = g (x)
(d)	f (x) = c . g (x)

84.

\int f (x) d x = \frac{{(l o g x)}^{4}}{4} + c

લેતાં,

f (x) =_____

(a)	$\frac{l o g x}{3}$
(b)	$\frac{{(l o g x)}^{4}}{4}$
(c)	$\frac{{(l o g x)}^{3}}{x}$
(d)	$\frac{{(l o g x)}^{5}}{5}$

85.

\int (\log |g (x)| - \log |f (x)|) \frac{f (x) g' (x) - g (x) f' (x)}{f (x) g (x)} d x

= _____ + c

(a)	$\frac{g (x)}{f (x)}$
(b)	$\log \|\frac{g (x)}{f (x)}\|$
(c)	$\frac{1}{2} {[\log \|\frac{g (x)}{f (x)}\|]}^{2}$
(d)	આપેલ પેેેૈકી એક પણ નહી.

86.

\int \sqrt{1 + c o s x} d x =_____+ c, π < x < 2 π

(a)	$- \frac{1}{\sqrt[2]{2}} s i n \frac{x}{2}$
(b)	$- \frac{1}{\sqrt{2}} s i n \frac{x}{2}$
(c)	$2 \frac{1}{\sqrt{2}} s i n \frac{x}{2}$
(d)	$- 2 \frac{1}{\sqrt{2}} s i n \frac{x}{2}$

87.

\int \frac{f' (x)}{\sqrt{f (x)}}

dx = _____ + c; f (x) ≠ 0

(a)	$\frac{1}{2} \sqrt{f (x)}$
(b)	$2 \sqrt{f (x)}$
(c)	$\frac{1}{2} f (x)$
(d)	$2 f (x)$

88.

\int \frac{d (x)}{\sqrt{{(\log \frac{1}{2})}^{2} - x^{2}}}

= _____ + c

(a)	$2 \sin^{- 1} (\frac{\log 2}{x})$
(b)	$- 2 \sin^{- 1} (\frac{\log 2}{x})$
(c)	$- \sin^{- 1} (\frac{x}{\log 2})$
(d)	$\sin^{- 1} (\frac{x}{\log 2})$

89.

\int

f (x) dx = _____ + c; f (x) =

|\begin{matrix} 2007 & 2008 \\ 2007 x & 2008 x \end{matrix}|

(a)	x
(b)	$\frac{x^{2}}{2}$
(c)	અચળ
(d)	ન મળે

90.

\int e^{x \log_{e} 5} e^{x}

dx = _____ + c

(a)	$5^{x} e^{x}$
(b)	$e^{x \log_{e} 5} e^{x}$
(c)	$\frac{(5 e)^{x}}{1 + \log_{e} 5}$
(d)	$\frac{e^{x}}{1 + \log_{e} 5}$

Showing 81 to 90 out of 440 Questions