MCQs of સંકલન | GUJCET MCQ

સંકલન MCQs

MCQs of સંકલન

Showing 241 to 250 out of 428 Questions

241.

જો

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

dx = 6 તો k = _____

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

242.

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

= _____ .

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

243.

\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

244.

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

245.

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

= _____

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

246.

\int_{- 1}^{1} \log (\frac{2 - x}{2 + x}) dx

= _____

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

247.

જો

\int_{0}^{2} (2 x^{2} + 3 x + k) d x = 0

તો k = _____

(a)	4
(b)	$- \frac{17}{3}$
(c)	$- \frac{13}{3}$
(d)	$- \frac{3}{2}$

248.

\int_{0}^{b} \sqrt{b^{2} - x^{2}} d x

= _____

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

249.

\int_{- 1}^{1} \log (\frac{2 - x}{2 + x}) d x

= _____

(a)	0
(b)	log 2
(c)	$\log \frac{1}{2}$
(d)	2 log 2

250.

f : (0, \infty) \to R

અને

f (x) = \int_{0}^{x} f (t) dt

. જો f(x²) = x² (1 + x) હોય તો f(4) = _____ .

(a)	$\frac{5}{4}$
(b)	7
(c)	4
(d)	2

Showing 241 to 250 out of 428 Questions