1.

Prove that:int_(-a)^(a) f(x) dx = {{:(2int_(0)^(a)f(x)dx, f(x) " is even "),(0, f(x) " is odd"):} and hence Evaluate int_(-t)^(t) sin^(5)(x)cos^(4)(x) dx

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ANSWER :`int_(-1)^(1) sin^(5)xcos^(4)x dx=0`


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