What is the integral from 0 to 2pi of 1/4 ?

The integral from 0 to 2pi of 1/4 is pi/2

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integral from 0 to 2pi of 1/4

\int_{0}^{2 π} \frac{1}{4} d θ

\frac{π}{2}

Decimal Notation

1.57079 \dots

Solution steps

\int_{0}^{2 π} \frac{1}{4} d θ

Integral of a constant:

\int a d x = a x

= [\frac{1}{4} θ]_{0}^{2 π}

Compute the boundaries:

\frac{π}{2}

= \frac{π}{2}

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

\int_{1}^{2} \frac{v ^{5} + 3 v ^{6}}{v ^{4}} d v

\int_{0}^{4} (3 x^{2} + 6) d x

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

\int_{- 2}^{3} \frac{8 x + 6}{4 x ^{2} + 6 x} d x

What is the integral from 0 to 2pi of 1/4 ?
The integral from 0 to 2pi of 1/4 is pi/2