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Popular >

integral from 0 to pi of |cos(t)|

Solution

\int_{0}^{π} ∣ cos (t) ∣ d t

Solution

2

Solution steps

\int_{0}^{π} ∣ cos (t) ∣ d t

Eliminate Absolutes

= \int_{0}^{\frac{π}{2}} cos (t) d t + \int_{\frac{π}{2}}^{π} - cos (t) d t

\int_{0}^{\frac{π}{2}} cos (t) d t = 1

\int_{\frac{π}{2}}^{π} - cos (t) d t = 1

= 1 + 1

Simplify

= 2

Graph

Popular Examples

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\int_{1}^{3} ∣ x ∣ d x

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\int_{0}^{4} 2 y^{\frac{1}{2}} d y

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\int_{0}^{1} (x^{2} - x) sin (nπ x) d x

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\int_{- 2}^{0} \frac{1}{x + 2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to pi of |cos(t)| ?
The integral from 0 to pi of |cos(t)| is 2