What is the integral from 2 to 6 of 3x^2 ?

The integral from 2 to 6 of 3x^2 is 208

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integral from 2 to 6 of 3x^2

\int_{2}^{6} 3 x^{2} d x

208

Solution steps

\int_{2}^{6} 3 x^{2} d x

Take the constant out:

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

= 3 \cdot \int_{2}^{6} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{2}^{6}

= 3 [\frac{x ^{3}}{3}]_{2}^{6}

Compute the boundaries:

\frac{208}{3}

= 3 \cdot \frac{208}{3}

Simplify

= 208

\int_{1}^{2} \frac{e ^{x}}{e ^{x} - 1} d x

\int_{0}^{2} x^{3} + 3 d x

\int_{1}^{3} x^{3} + 1 d x

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

\int_{0}^{1} (2 - 3 x)^{4} d x

What is the integral from 2 to 6 of 3x^2 ?
The integral from 2 to 6 of 3x^2 is 208