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Popular Calculus >

integral of cos(pi)t

Solution

\int cos (π) t d t

Solution

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

Solution steps

\int cos (π) t d t

Take the constant out:

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

= cos (π) \cdot \int t d t

cos (π) = - 1

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

Apply the Power Rule

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

Simplify

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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