Question

$\displaystyle\int _{0}^{\frac {\pi } {4}} (\sin ^{4}x-\cos ^{4}x)dx $ integralinin eşiti nedir?

Answer 1

$$\cos^4 x-\sin^4 x=(\cos^2x+\sin^2x)(\cos^2x-\sin^2x)=\cos^2x-\sin^2x=\cos2x$$ oldugunu kullanabilirsin.

Comments

teşekkürler hocam