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What are the value of p which satisfy t...

What are the value of p which satisfy the equations `int_(0)^(P)(3x^(2) + 4x-5) dx = p^(3 ) - 2` ?

A

`1//2` and `2`

B

`-1//2` and `2`

C

`1//2` and `-2`

D

`-1//2` and `-2`

Text Solution

Verified by Experts

The correct Answer is:
A
Given equation
`int_(0)^(p) (3x^(2) + 4x -5) dx = p^(3) - 2`
`rArr [(3x^(2))/(3) + (4x^(2))/(2) -5x]_(0)^(p) = p^(3) - 2`
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NDA PREVIOUS YEARS-DEFINITE INTEGRATION & ITS APPLICATION-DIRECTIONS
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