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Popular >

integral from 0 to 2pi of 2-t/pi

Solution

\int_{0}^{2 π} 2 - \frac{t}{π} d t

Solution

2 π

+1

Decimal Notation

6.28318 \dots

Solution steps

\int_{0}^{2 π} 2 - \frac{t}{π} d t

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}^{2 π} 2 d t - \int_{0}^{2 π} \frac{t}{π} d t

\int_{0}^{2 π} 2 d t = 4 π

\int_{0}^{2 π} \frac{t}{π} d t = 2 π

= 4 π - 2 π

Simplify

= 2 π

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 2pi of 2-t/pi ?
The integral from 0 to 2pi of 2-t/pi is 2pi