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

The integral from-1 to 3 of 2x^3 is 40

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integral from-1 to 3 of 2x^3

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

40

Solution steps

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

Apply the Power Rule

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

= 2 [\frac{x ^{4}}{4}]_{- 1}^{3}

Compute the boundaries:

20

= 2 \cdot 20

Simplify

= 40

\int_{\frac{π}{2}}^{\frac{3 π}{2}} cos (x) d x

\int_{0}^{a} (3 x^{2} - x + 1) d x

\int_{0}^{0.3} 3 e^{- x^{2}} d x

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

\int_{1}^{2} \frac{x}{( x ^{2} + 1 ) ^{2}} d x

What is the integral from-1 to 3 of 2x^3 ?
The integral from-1 to 3 of 2x^3 is 40