What is the integral from 0 to 5 of pix ?

The integral from 0 to 5 of pix is (25pi)/2

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integral from 0 to 5 of pix

\int_{0}^{5} π x d x

\frac{25 π}{2}

Decimal Notation

39.26990 \dots

Solution steps

\int_{0}^{5} π x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= π \cdot \int_{0}^{5} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{5}

= π [\frac{x ^{2}}{2}]_{0}^{5}

Compute the boundaries:

\frac{25}{2}

= π \frac{25}{2}

Simplify

= \frac{25 π}{2}

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\int_{0}^{2} \frac{4 x}{2 + x ^{2}} d x

\int_{0}^{2} 4 x + 1 d x

\int_{1}^{3} - x^{3} + 4 x^{2} - 3 x d x

What is the integral from 0 to 5 of pix ?
The integral from 0 to 5 of pix is (25pi)/2