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Popular >

integral of cos^6(pi)x

Solution

\int cos^{6} (π) x d x

Solution

\frac{x ^{2}}{2} + C

Solution steps

\int cos^{6} (π) x d x

Simplify

cos^{6} (π) x : x

= \int x d x

Apply the Power Rule

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

= \frac{x ^{2}}{2}

Add a constant to the solution

= \frac{x ^{2}}{2} + C

Popular Examples

integral of e^{-1/2 t^2}

\int e^{- \frac{1}{2} t^{2}} d t

integral of sin(2θ)sin(4θ)

\int sin (2 θ) sin (4 θ) d θ

integral of (x^{2.7}+x^{-1.3})

\int (x^{2.7} + x^{- 1.3}) d x

integral of (7x^3-5x^2+7x-8)/(x^2)

\int \frac{7 x ^{3} - 5 x ^{2} + 7 x - 8}{x ^{2}} d x

integral of (x^3)/(x^2-x-6)

\int \frac{x ^{3}}{x ^{2} - x - 6} d x

Frequently Asked Questions (FAQ)

What is the integral of cos^6(pi)x ?
The integral of cos^6(pi)x is (x^2)/2+C