MCQs of સંકલન | GUJCET MCQ

સંકલન MCQs

MCQs of સંકલન

Showing 231 to 240 out of 440 Questions

231.

જો

\int_{1}^{k} (3 x^{2} - 2 x) d x = 48

હોય તો k = _____

(a)	2
(b)	3
(c)	4
(d)	5

232.

\int_{0}^{2 π} \sin^{8} x \cos^{3} x d x

= _____ .

(a)	$\frac{1}{8}$
(b)	$\frac{1}{3}$
(c)	0
(d)	$\frac{1}{32}$

233.

જો

\int_{0}^{\frac{π}{3}} \frac{\cos x}{1 + \sin x} d x = k \log (\frac{\sqrt{3} + 1}{2})

હોય તો k = _____

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

234.

\int_{\frac{- π}{2}}^{\frac{π}{2}} \cos x dx

= _____ .

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

235.

જો f(x)=x- [x], x ∈ R હોય તો

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

= _____

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

236.

\int_{- 2}^{2} ({ax}^{3} + bx + c) dx

નું મૂલ્ય _____ પર આધાર રાખે છે.

(a)	b
(b)	c
(c)	a
(d)	a અને b

237.

\int_{0}^{4} \frac{\sqrt[3]{x + 5}}{\sqrt[3]{x + 5 + \sqrt[3]{9 - x}}} d x

= _____

(a)	1
(b)	2
(c)	$\frac{3}{2}$
(d)	0

238.

\int_{0}^{\frac{π}{2}} \sin θ \sin 2 θ d θ

=_____ .

(a)	$\frac{4}{3}$
(b)	$\frac{1}{3}$
(c)	$\frac{3}{4}$
(d)	$\frac{2}{3}$

239.

જો f(x) એ યુગ્મ વિધેય હોય અને

\int_{- a}^{a} f (x) d x = 2

હોય તો

\int_{0}^{a} f (x) d x

= _____ .

(a)	0
(b)	4
(c)	$\frac{a}{2}$
(d)	1

240.

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

= _____

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

Showing 231 to 240 out of 440 Questions