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

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

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integral from 0 to pi/4 of sin(t)

\int_{0}^{\frac{π}{4}} sin (t) d t

- \frac{1}{2} + 1

Decimal

0.29289 \dots

Solution steps

\int_{0}^{\frac{π}{4}} sin (t) d t

Use the common integral:

\int sin (t) d t = - cos (t)

= [- cos (t)]_{0}^{\frac{π}{4}}

Compute the boundaries:

- \frac{1}{2} + 1

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

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