What is the integral from 1 to 3 of 15x^2 ?

The integral from 1 to 3 of 15x^2 is 130

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integral from 1 to 3 of 15x^2

\int_{1}^{3} 15 x^{2} d x

130

Solution steps

\int_{1}^{3} 15 x^{2} d x

Take the constant out:

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

= 15 \cdot \int_{1}^{3} x^{2} d x

Apply the Power Rule

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

= 15 [\frac{x ^{3}}{3}]_{1}^{3}

Compute the boundaries:

\frac{26}{3}

= 15 \cdot \frac{26}{3}

Simplify

= 130

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

\int_{0}^{3} \frac{x}{1 + x ^{2}} d x

\int_{2}^{7} 700 x 3 + 2 x d x

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

\int_{3}^{1} 1

What is the integral from 1 to 3 of 15x^2 ?
The integral from 1 to 3 of 15x^2 is 130