What is the integral from-1 to 4 of 3x^2 ?

The integral from-1 to 4 of 3x^2 is 65

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integral from-1 to 4 of 3x^2

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

65

Solution steps

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

Apply the Power Rule

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

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

Compute the boundaries:

\frac{65}{3}

= 3 \cdot \frac{65}{3}

Simplify

= 65

\int_{2}^{3} 2 e^{- 2 x} d x

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\int_{10}^{x} 9 t^{2} d t

\int_{0}^{\infty} e^{- 2 a t} d t

What is the integral from-1 to 4 of 3x^2 ?
The integral from-1 to 4 of 3x^2 is 65