MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Definite Integrals>Competitive Thinking>Q 133

MEDIUM

MHT-CET

IMPORTANT

Earn 100

If $f (x)$ is defined on $[- 2, 2]$ by $f (x) = 4 x^{2} - 3 x + 1$ and $g (x) = \frac{f (- x) - f (x)}{x^{2} + 3}$ , then $\int_{- 2}^{2} g (x) d x =$

100% studentsanswered this correctly

Important Questions on Definite Integrals

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Definite Integrals>Competitive Thinking>Q 134

\int_{- 2}^{2} |x| d x

is equal to

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Definite Integrals>Competitive Thinking>Q 135

\int_{- 2}^{2} |x \cos π x| d x

is equal to

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Definite Integrals>Competitive Thinking>Q 136

\int_{- 1}^{1} x \tan^{- 1} x d x

equals

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Definite Integrals>Competitive Thinking>Q 137

\int_{- \frac{π}{2}}^{\frac{π}{2}} \frac{\sin^{4} x}{\sin^{4} x + \cos^{4} x} d x =

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Definite Integrals>Competitive Thinking>Q 138

The value of

\int_{- \frac{π}{2}}^{\frac{π}{2}} \frac{\sin^{2} x}{1 + 2^{x}} d x

is

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Definite Integrals>Competitive Thinking>Q 139

The value of

\int_{- 1}^{1} \frac{\sin x - x^{2}}{3 - |x|} d x

is

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Definite Integrals>Competitive Thinking>Q 140

The value of the integral

\int_{- π}^{π} {(\cos a x - \sin b x)}^{2} d x

, where

a

and

b

are integers, is

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Definite Integrals>Competitive Thinking>Q 141

\int_{\frac{- 3 π}{2}}^{\frac{- π}{2}} [{(x + π)}^{3} + \cos^{2} (x + 3 π)] d x

is equal to