What is the integral from 1 to 5 of 2x^3 ?

The integral from 1 to 5 of 2x^3 is 312

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integral from 1 to 5 of 2x^3

\int_{1}^{5} 2 x^{3} d x

312

Solution steps

\int_{1}^{5} 2 x^{3} d x

Take the constant out:

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

= 2 \cdot \int_{1}^{5} x^{3} d x

Apply the Power Rule

= 2 [\frac{x ^{4}}{4}]_{1}^{5}

Compute the boundaries:

156

= 2 \cdot 156

Simplify

= 312

What is the integral from 1 to 5 of 2x^3 ?
The integral from 1 to 5 of 2x^3 is 312