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Popular >

integral from 0 to pi of 1-cos(θ)

Solution

\int_{0}^{π} 1 - cos (θ) d θ

Solution

π

+1

Decimal Notation

3.14159 \dots

Solution steps

\int_{0}^{π} 1 - cos (θ) d θ

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{π} 1 d θ - \int_{0}^{π} cos (θ) d θ

\int_{0}^{π} 1 d θ = π

\int_{0}^{π} cos (θ) d θ = 0

= π - 0

Simplify

= π

Popular Examples

integral from-pi/4 to pi/2 of cos(x)

\int_{- \frac{π}{4}}^{\frac{π}{2}} cos (x) d x

integral from-1 to 1 of 9

\int_{- 1}^{1} 9 d x

integral from 1 to 3 of (2x+1/x)

\int_{1}^{3} (2 x + \frac{1}{x}) d x

integral from 0 to 8 of xsqrt(8-x)

\int_{0}^{8} x 8 - x d x

integral from 2 to 6 of (x^2-4)

\int_{2}^{6} (x^{2} - 4) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to pi of 1-cos(θ) ?
The integral from 0 to pi of 1-cos(θ) is pi