What is the integral from 0 to pi of sqrt(sin(e)) ?

The integral from 0 to pi of sqrt(sin(e)) is -2\E(2*1/2 (pi/2-pi)\vert)+2\E(2*1/2 (pi/2-0)\vert)

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integral from 0 to pi of sqrt(sin(e))

\int_{0}^{π} sin (e) d e

- 2 E (2 \cdot \frac{1}{2} (\frac{π}{2} - π) ∣) + 2 E (2 \cdot \frac{1}{2} (\frac{π}{2} - 0) ∣)

Solution steps

\int_{0}^{π} sin (e) d e

Use the nonelementary integral:

\int sin (x) d x = - 2 E (\frac{1}{2} (\frac{π}{2} - x) ∣ 2)

= [- 2 E (\frac{1}{2} (\frac{π}{2} - e) ∣ 2)]_{0}^{π}

Compute the boundaries:

- 2 E (2 \cdot \frac{1}{2} (\frac{π}{2} - π) ∣) + 2 E (2 \cdot \frac{1}{2} (\frac{π}{2} - 0) ∣)

= - 2 E (2 \cdot \frac{1}{2} (\frac{π}{2} - π) ∣) + 2 E (2 \cdot \frac{1}{2} (\frac{π}{2} - 0) ∣)

\int_{0}^{5} \frac{1}{x x} d x

\int_{2}^{4} 4 x^{3} d x

\int_{0}^{y - 1} \frac{3}{2} x^{2} d x

\int_{0}^{4} (6 - 6 x) d x

\int_{- 1}^{0} \frac{1}{- x} d x

What is the integral from 0 to pi of sqrt(sin(e)) ?
The integral from 0 to pi of sqrt(sin(e)) is -2\E(2*1/2 (pi/2-pi)\vert)+2\E(2*1/2 (pi/2-0)\vert)