Express $$ (\sin x-\cos x)^{2} $$ in the form $$ p+q \sin r x $$ where $$ p, q $$ and $$ r $$ are integers. Hence, find $$ \int(\sin x-\cos x)^{2} d x $$

Question

Moreno Morrison · Accepted Answer

The integral of $$ (\sin x - \cos x)^2 $$ with respect to $$ x $$ is $$ x - \frac{1}{2} \cos(2x) + C $$.

Express \( (\sin x-\cos x)^{2} \) in the form \( p+q \sin r x \) where \( p, q \) and \( r \) are integers. Hence, find \( \int(\sin x-\cos x)^{2} d x \)

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Solución paso a paso

Express \( (\sin x-\cos x)^{2} \) in the form \( p+q \sin r x \) where \( p, q \) and \( r \) are integers. Hence, find \( \int(\sin x-\cos x)^{2} d x \)

Solución ThothAI de Upstudy

Respuesta rápida

Solución paso a paso

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