What is the integral from 0 to pi/4 of 1 ?

The integral from 0 to pi/4 of 1 is pi/4

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integral from 0 to pi/4 of 1

\int_{0}^{\frac{π}{4}} 1 d x

\frac{π}{4}

Decimal Notation

0.78539 \dots

Solution steps

\int_{0}^{\frac{π}{4}} 1 d x

Integral of a constant:

\int a d x = a x

= [1 \cdot x]_{0}^{\frac{π}{4}}

Simplify

= [x]_{0}^{\frac{π}{4}}

Compute the boundaries:

\frac{π}{4}

= \frac{π}{4}

\int_{- 4}^{0} - x d x

\int_{- \infty}^{3} θ e^{θ} d θ

\int_{- \infty}^{- 2} θ e^{θ} d θ

\int_{0}^{1} x^{2} e^{- 14 x} d x

\int_{1}^{3} (y - 2)^{2} d y

What is the integral from 0 to pi/4 of 1 ?
The integral from 0 to pi/4 of 1 is pi/4