MCQs of સંકલન | GUJCET MCQ

સંકલન MCQs

MCQs of સંકલન

Showing 241 to 250 out of 440 Questions

241.

જો

\int_{n}^{n + 1} f (x) d x = n^{3}

હોય તો

\int_{- 3}^{3} f (x) d x

= _____ .

(a)	27
(b)	-27
(c)	64
(d)	-64

242.

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

= _____

(a)	$\frac{π}{2}$
(b)	$\frac{π}{3}$
(c)	$\frac{π}{4}$
(d)	$- π$

243.

\int_{1}^{2} \log x d x

= _____ .

(a)	$\log (\frac{e}{2})$
(b)	$\log (\frac{2}{e})$
(c)	$\log (\frac{e^{2}}{4})$
(d)	$\log (\frac{4}{e})$

244.

\int_{0}^{2 π} \cos^{3} x \sin^{5} x d x

= _____ (જ્યાં [x] = xથી અધિક નહિ તેવા પૂર્ણાંકોમાં અધિકતમ પૂર્ણાંક)

(a)	[1.5]
(b)	0.15
(c)	15
(d)	[0.115]

245.

\int_{\frac{1}{\sqrt{3}}}^{1} \frac{dx}{1 + x^{2}}

= _____

(a)	$\frac{π}{6}$
(b)	$\frac{π}{4}$
(c)	$\frac{π}{3}$
(d)	$\frac{π}{12}$

246.

જો

\int_{2}^{k} (2 x + 1)

dx = 6 તો k = _____

(a)	3
(b)	4
(c)	-4
(d)	-2

247.

\int_{0}^{1} x {(1 - x)}^{5} d x

= _____ .

(a)	$\frac{1}{7}$
(b)	$\frac{1}{6}$
(c)	$\frac{1}{42}$
(d)	$\frac{1}{13}$

248.

\int_{0}^{\frac{π}{2}} \frac{{(\sin x + \cos x)}^{2}}{\sqrt{1 + \sin 2 x}} d x

= _____ .

(a)	3
(b)	2
(c)	1
(d)	0

249.

જો

I_{n} = \int_{\frac{π}{4}}^{\frac{π}{2}} c o t^{n} x d x

તો

100 (I_{99} + I_{101})

= _____ .

(a)	100
(b)	0
(c)	1
(d)	-1

250.

\int_{- e}^{e} \log (\frac{e^{5} - x^{5}}{e^{5} + x^{5}}) d x

= _____

(a)	e
(b)	5
(c)	0
(d)	-e

Showing 241 to 250 out of 440 Questions