What is the integral of cos^4(s)inx ?

The integral of cos^4(s)inx is (inx^2cos^4(s))/2+C

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integral of cos^4(s)inx

\int cos^{4} (s) in x d x

\frac{in x ^{2} cos ^{4} ( s )}{2} + C

Solution steps

\int cos^{4} (s) in x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= cos^{4} (s) in \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= cos^{4} (s) in \frac{x ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{in x ^{2} cos ^{4} ( s )}{2}

Add a constant to the solution

= \frac{in x ^{2} cos ^{4} ( s )}{2} + C

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What is the integral of cos^4(s)inx ?
The integral of cos^4(s)inx is (inx^2cos^4(s))/2+C