What is the integral from 1 to 4 of 6x^2 ?

The integral from 1 to 4 of 6x^2 is 126

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integral from 1 to 4 of 6x^2

\int_{1}^{4} 6 x^{2} d x

126

Solution steps

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

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{1}^{4}

= 6 [\frac{x ^{3}}{3}]_{1}^{4}

Compute the boundaries:

21

= 6 \cdot 21

Simplify

= 126

\int_{1}^{4} x e^{- x} d x

\int_{1}^{6} \frac{cos ( x )}{x} d x

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

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

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

What is the integral from 1 to 4 of 6x^2 ?
The integral from 1 to 4 of 6x^2 is 126