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Popular >

integral from 0 to 2 of x^3

Solution

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

Solution

4

Solution steps

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

Apply the Power Rule

: [\frac{x ^{4}}{4}]_{0}^{2}

= [\frac{x ^{4}}{4}]_{0}^{2}

Compute the boundaries:

4

= 4

Popular Examples

integral from 1 to 3 of 7/(x^2)

\int_{1}^{3} \frac{7}{x ^{2}} d x

d/(dt)(y+{v}(t)*t+(a/2)*t^2)

\frac{d}{d t} (y + v (t) \cdot t + (\frac{a}{2}) \cdot t^{2})

integral from 0 to 2 of xsqrt(2-x)

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

derivative of (8x+5(x^2-3x))

\frac{d}{d x} ((8 x + 5) (x^{2} - 3 x))

derivative of (e^x/(1+x^2))

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of x^3 ?
The integral from 0 to 2 of x^3 is 4