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prove that : int(0)^(2a) f(x)dx = int(0)...

prove that : `int_(0)^(2a) f(x)dx` = `int_(0)^(a) f(x)dx`+`int_(0)^(a)f(2a-x)dx`

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Prove that: int_(0)^(2a)f(x)dx=int_(0)^(2a)f(2a-x)dx

Prove that : int_(0)^(2a) f(x)dx=int_(0)^(a) f(x)dx+int_(0)^(a) f(x)dx+int_(0)^(a) f(2a-x)dx

If int_(0)^(2a) f(x)dx=int_(0)^(2a) f(x)dx , then

If : int_(0)^(2a)f(x)dx=2.int_(0)^(a)f(x)dx , then :

Prove that int_(0)^(a)f(x)dx=int_(0)^(a)f(a-x)dx

Prove that int_(0)^(2a)f(x)dx=int_(a)^(a)[f(a-x)+f(a+x)]dx

Prove that int_(0)^(a) f(x) dx= int_(0)^(a) f(a-x)dx . Hence find int_(0)^((pi)/(2)) sin^(2) xdx

Prove that : int_(0)^(a) f(x) dx = int_(0)^(a) f(a-x)dx hence evaluate : int_(0)^(pi//2) (sin x)/(sin x + cos x) dx

Prove that int_(a)^(b)f(x)dx=(b-a)int_(0)^(1)f((b-a)x+a)dx

int_(0)^(a)[f(x)+f(a-x)]dx=