What is the integral of cos^4(x ?

The integral of cos^4(x is (x^2cos^4(d))/2+C

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integral of cos^4(x

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

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

x^{2} y^{^{''}} + 3 x y^{^{'}} + 3 y = 0

\frac{\partial}{\partial t} (4 t)

f (x) = 3 x + 8

n = 0 \sum \infty ln (\frac{1}{3 ^{n}})

\int_{\frac{1}{3}}^{7} 16 x ln (3 x) d x