What is the integral from 0 to pi/2 of cos^5(1) ?

The integral from 0 to pi/2 of cos^5(1) is pi/2 cos^5(1)

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integral from 0 to pi/2 of cos^5(1)

\int_{0}^{\frac{π}{2}} cos^{5} (1) d x

\frac{π}{2} cos^{5} (1)

Decimal Notation

0.07232 \dots

Solution steps

\int_{0}^{\frac{π}{2}} cos^{5} (1) d x

Integral of a constant:

\int a d x = a x

= [cos^{5} (1) x]_{0}^{\frac{π}{2}}

Compute the boundaries:

\frac{π}{2} cos^{5} (1)

= \frac{π}{2} cos^{5} (1)

y^{^{''}} - 4 y^{^{'}} + 4 y = t^{- 6} e^{2 t}

\frac{\partial}{\partial y} (x e^{x^{2} y})

\frac{d}{d x} (sin (x - 1))

x \to 2 lim (2 x)

y^{^{''}} - 4 y^{^{'}} + 2 y = 0, y (0) = 0, y^{^{'}} (0) = 5

What is the integral from 0 to pi/2 of cos^5(1) ?
The integral from 0 to pi/2 of cos^5(1) is pi/2 cos^5(1)