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Popular >

integral of cos(pi)x

Solution

\int cos (π) x d x

Solution

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

Solution steps

\int cos (π) x d x

Take the constant out:

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

= cos (π) \cdot \int x d x

cos (π) = - 1

= (- 1) \cdot \int x d x

Apply the Power Rule

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

= (- 1) \frac{x ^{2}}{2}

Simplify

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

Add a constant to the solution

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

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\int t^{17} e^{- t^{18}} d t

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\int (x + 2)^{- 2} d x

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\frac{1}{3} x^{\frac{3}{2}}

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\int_{- \frac{1}{5}}^{\frac{1}{5}} \frac{1}{1 - x ^{2}} d x

Frequently Asked Questions (FAQ)

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