Mathematics

Evaluate the following integral:

$$\displaystyle\int_{0}^{\pi} x\ dx$$


SOLUTION

Given $$\displaystyle\int_{0}^{\pi} x\ dx$$ 

$$=\left.\dfrac {x^2}2\right|_0^\pi$$     [$$\because\int x^n=\dfrac{x^{n+1}}{n+1}$$]

$$=\dfrac {\pi^2}2$$
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Subjective Medium Published on 17th 09, 2020
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