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Evaluate: int(-1)^4f(x)dx=4a n dint2^4(3...

Evaluate: `int_(-1)^4f(x)dx=4a n dint_2^4(3-f(x))dx=7,` then find the value of `int_2^(-1)f(x)dxdot`

A

`-2`

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
D
Given , `int_(2)^(4){3-f(x)}dx=7`
` rArr 3 [ x] _(2)^(4)- int _(2)^(4)f(x) dx = 7`
` rArr int _(2)^(4) f(x) dx = 6 -7 =-1 `
` :. int _(-1)^(2) f(x) dx = int _(-1)^(4) f(x) dx - int _(2)^(4) f(x) dx = 4 - (-1) = 5`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DEFINITE INTEGRALS-MHT CET Corner
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