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If int (a)^(b) x^(3) dx = 0 and if in...

If `int _(a)^(b) x^(3) dx = 0 ` and if ` int _(a)^(b) x^(2) dx = 2/3 ,` then the values of a and b respectively are

A

`1,1`

B

`-1,-1`

C

`1,-1`

D

`-1,1`

Text Solution

Verified by Experts

The correct Answer is:
D
Given , ` int _(a)^(b) x^(3) dx = 0 and int _(a)^(b) x^(2) dx = 2/3 `
If we take `a=-1` and b= 1 , then it will satisfy the given integration .
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DEFINITE INTEGRALS-MHT CET Corner
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  10. The value of int (0)^(pi//2) log ("cosec "x) dx is

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  11. Which of the following is true ?

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  12. int(0)^(5) 1/((x-1)(x-2))dx is equal to

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  17. If f is a continous function, then

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  19. The value of int(-1)^(1) log ((x-1)/(x+1))dx is

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  21. int (1)^(2)e^(x) (1/x - 1/(x^(2)))dx is qual to

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