Show that int0^pifx(sinx)dx=pi/2int0^pif...

Show that `int_0^pifx(sinx)dx=pi/2int_0^pif(sinx)dxdot`

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The correct Answer is:

`2 int_(0)^(pi) x f (sin x) dx = pi int_(0)^(pi) f (sin x) dx`

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What is the value the integral int(-1)^(1)|x| dx ?
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Prove the equality int(-2)^(2) cos xf(x^(2)) dx = 2 int(0)^(2) cos ...
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Evaluate the following definite integral: int(-sqrt(2))^(sqrt(2))(2...
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The value of the integral underset(-1//2)overset(1//2)int cos x log(...
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Prove that the equality int(a)^(b) f(x) dx = int(a)^(b) f(a + b - ...
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Prove that int0^t f(x)g(t-x)dx=int0^t g(x)f(t-x)dx
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Prove the equality int(0)^(pi) f (sin x) dx = 2 int(0)^(pi//2) f (s...
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Show that int0^pifx(sinx)dx=pi/2int0^pif(sinx)dxdot
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Using the equality (sin (n + (1)/(2))x)/( 2 sin""(pi)/(2))=(1)/(2) + c...
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