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Find out the area bounded by the curve `y=int_(1//8)^(sin^(2)x)(sin^(-1)sqrt(t))dt+int_(1//8)^(cos^(2)x)(cos^(-1)sqrt(t))dt(0lexlepi//2)` and the curve satisfying the differential equation `y(x+y^3) dx=x(y^3-x)dy` passing through (`4,-2)`.

A

0

B

`(pi)/(4)`

C

`(pi)/(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -Level - 1
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