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Statement-1: int(0)^(sin^(2)x) sin^(-1...

Statement-1:
`int_(0)^(sin^(2)x) sin^(-1)sqrt(t dt)+int_(0)^(cos^(2)x) cos^(-1)sqrt(t dt)=(pi)/(4)` for all x.
Statement-2:`(d)/(dx) int_(theta(x))overset(psi(x)) f(t)dt=psi'(x)f(psi(x))-psi'(x)f(psi(x))`

A

Statement-1 is true, Statement-2 is True,Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is True, Statement-2 is not a correct explanation for Statement-1.

C

Statement-1 is True, Statement-2 is False.

D

Statement-1 is False, Statement-2 is True.

Text Solution

Verified by Experts

The correct Answer is:
C
Statement-2, being the statement of Leibnitz's rule, is true.
Also, statement-1 is true (See illustration 8 on page 44.19). But, statement-2 is not a correct explanation for statement-1.
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