What is the integral from 1 to 6 of 6x^2 ?

The integral from 1 to 6 of 6x^2 is 430

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integral from 1 to 6 of 6x^2

\int_{1}^{6} 6 x^{2} d x

430

Solution steps

\int_{1}^{6} 6 x^{2} d x

Take the constant out:

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

= 6 \cdot \int_{1}^{6} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{1}^{6}

= 6 [\frac{x ^{3}}{3}]_{1}^{6}

Compute the boundaries:

\frac{215}{3}

= 6 \cdot \frac{215}{3}

Simplify

= 430

\frac{\partial}{\partial x} (9 y e^{8 x})

\frac{d}{d x} (\frac{1}{x ( ln ( x ) ) ^{3}})

\int ln (x) d x

\int \frac{5 e ^{x}}{e ^{2 x} + 10 e ^{x} + 25} d x

x \to 2 lim (- (x))

What is the integral from 1 to 6 of 6x^2 ?
The integral from 1 to 6 of 6x^2 is 430