What is the integral from 0 to pi/4 of sin(θ) ?

The integral from 0 to pi/4 of sin(θ) is -1/(sqrt(2))+1

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integral from 0 to pi/4 of sin(θ)

\int_{0}^{\frac{π}{4}} sin (θ) d θ

- \frac{1}{2} + 1

Decimal Notation

0.29289 \dots

Solution steps

\int_{0}^{\frac{π}{4}} sin (θ) d θ

Use the common integral:

\int sin (θ) d θ = - cos (θ)

= [- cos (θ)]_{0}^{\frac{π}{4}}

Compute the boundaries:

- \frac{1}{2} + 1

= - \frac{1}{2} + 1

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

\int_{0}^{6} 2 x^{2} - x + 100 d x

\int_{- 2}^{4} 1 d x

\int_{0}^{π} sin (3 x) cos (4 x) d x

\int_{- 2 π}^{2 π} x cos (0.5 x) d x

What is the integral from 0 to pi/4 of sin(θ) ?
The integral from 0 to pi/4 of sin(θ) is -1/(sqrt(2))+1