How do I evaluate $\int sin (π x) cos (π x) d x$ $intsin (pi x) cos (pi x) dx$ ?

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Answer 1 · 2015-02-01T13:18:03

I would use integration by parts where you have:

$intf(x)*g(x)dx=F(x)*g(x)-intF(x)*g'(x)dx$

Where:

$F(x)=intf(x)dx$
$g'(x)$ is the derivative of $g(x)$

Giving:

enter image source here

Hope it helps

How do I evaluate intsin (pi x) cos (pi x) dx∫sin(πx)cos(πx)dxintsin (pi x) cos (pi x) dx?