MCQs of સંકલન | GUJCET MCQ

સંકલન MCQs

MCQs of સંકલન

Showing 91 to 100 out of 440 Questions

91.

\int 3^{x + 1} . e^{3 x + 1}

dx = _____ + c

(a)	$\frac{3^{x + 1} e^{3 x + 1}}{3 + \log_{e} 3}$
(b)	$\frac{3^{x + 1} e^{3 x + 1}}{\log_{e} 3}$
(c)	$\frac{3^{x + 1} e^{3 x + 1}}{3 - \log_{e} 3}$
(d)	આપેલ પેૈૈકી એક પણ નહી.

92.

\int

sin^-1 (cos x) dx = _____ + c, 0 < x < 1

(a)	$\frac{π x - x^{2}}{2}$
(b)	$\frac{π}{2} x$
(c)	$\frac{π x + x^{2}}{2}$
(d)	$\frac{π}{2} x^{2}$

93.

\int {|x|}^{2}

dx = _____ + c, x ∈ (-1, 1)

(a)	$\frac{x^{3}}{3}$
(b)	$\frac{{\|x\|}^{3}}{3}$
(c)	ના મળી શકે.
(d)	આપેલ પૈકી એક પણ નહી.

94.

∫ (x - a) (x - b) (x - c).....(x - z) dx _____ ઘાતની બહુપદી છે.

(a)	25
(b)	26
(c)	0
(d)	24

95.

\int {\{f (3 - 2 x)\}}^{2} f' (3 - 2 x) d x

= _____ + c

(a)	$- \frac{1}{12} {\{f (3 - 2 x)\}}^{6}$
(b)	$\frac{1}{12} {\{f (3 - 2 x)\}}^{6}$
(c)	$\frac{1}{6} {\{f (3 - 2 x)\}}^{6}$
(d)	$- \frac{1}{6} {\{f (3 - 2 x)\}}^{6}$

96.

\int \frac{d x}{\sqrt{x (5 + \sqrt{x})}}

= _____ + c

(a)	$\frac{1}{2} \sqrt{5 + \sqrt{x}}$
(b)	$2 \sqrt{5 + \sqrt{x}}$
(c)	$4 \sqrt{5 + \sqrt{x}}$
(d)	આપેલ પૈકી એક પણ નહી.

97.

\int \sqrt{\frac{x}{5 - 2 x^{3}}} d x

= _____ + c

(a)	$\frac{\sqrt{3}}{5} \sin^{- 1} (\sqrt{\frac{2}{5}} . x^{\frac{3}{2}})$
(b)	$\frac{\sqrt{2}}{3} \sin^{- 1} (\sqrt{\frac{2}{5}} . x^{\frac{3}{2}})$
(c)	$\frac{\sqrt{2}}{5} \sin^{- 1} (\sqrt{\frac{2}{5}} . x^{\frac{3}{2}})$
(d)	આપેલ પૈકી એક પણ નહી.

98.

\int \frac{x \sqrt{x}}{2 x^{5} + 5} d x

= _____ + c

(a)	$\frac{\sqrt{2}}{5} \tan^{- 1} (\frac{\sqrt{2} x^{\frac{5}{2}}}{\sqrt{5}})$
(b)	$\frac{\sqrt{2}}{5 \sqrt{5}} \tan^{- 1} (\frac{\sqrt{2} x^{\frac{5}{2}}}{\sqrt{5}})$
(c)	$\frac{2}{5 \sqrt{5}} \tan^{- 1} (\frac{\sqrt{2} x^{\frac{5}{2}}}{\sqrt{5}})$
(d)	આપેલ પૈકી એક પણ નહી.

99.

\int e^{3 \log_{x}} {(x^{4} + 1)}^{- 1} d x

= _____ + c

(a)	$\frac{1}{4} \log (x^{4} + 1) + c$
(b)	$- \log (x^{4} + 1) + c$
(c)	$\log (x^{4} + 1) + c$
(d)	એક પણ નહી.

100.

\int \frac{\cos \sqrt{x}}{\sqrt{x}}

= _____ + c

(a)	$2 \cos \sqrt{x}$
(b)	$\sqrt{\frac{\cos x}{2}}$
(c)	$\sin \sqrt{x}$
(d)	$2 \sin \sqrt{x}$

Showing 91 to 100 out of 440 Questions