What is the integral from 0 to 3 of 2x^2 ?

The integral from 0 to 3 of 2x^2 is 18

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integral from 0 to 3 of 2x^2

\int_{0}^{3} 2 x^{2} d x

18

Solution steps

\int_{0}^{3} 2 x^{2} d x

Take the constant out:

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

= 2 \cdot \int_{0}^{3} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{0}^{3}

= 2 [\frac{x ^{3}}{3}]_{0}^{3}

Compute the boundaries:

9

= 2 \cdot 9

Simplify

= 18

x \to \infty lim (π^{2 x})

y^{^{'}} = x^{2} - 2, y (3) = 7

\frac{\partial}{\partial x} (x y + yz - x z)

\frac{1}{( s ^{2} + 1 ) ( s ^{2} + 2 s + 3 )}

\int \frac{cos ( x )}{cos ^{3} ( x )} d x

What is the integral from 0 to 3 of 2x^2 ?
The integral from 0 to 3 of 2x^2 is 18