What is the integral from 0 to 2 of pix ?

The integral from 0 to 2 of pix is pi2

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integral from 0 to 2 of pix

\int_{0}^{2} π x d x

π 2

Decimal Notation

6.28318 \dots

Solution steps

\int_{0}^{2} 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}^{2} x d x

Apply the Power Rule

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

= π [\frac{x ^{2}}{2}]_{0}^{2}

Compute the boundaries:

2

= π 2

\int_{- 4}^{4} (4 - ∣ x ∣) d x

\int_{0}^{e - 1} ln (1 + x) d x

\int_{0}^{2} (2 x - 3) d x

\int_{2}^{4} 5^{5 x} d x

\int_{0}^{\frac{35}{36}} 1 + 36 x d x

What is the integral from 0 to 2 of pix ?
The integral from 0 to 2 of pix is pi2