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Popular >

integral from 0 to 2 of t^3

Solution

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

Solution

4

Solution steps

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

Apply the Power Rule

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

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

Compute the boundaries:

4

= 4

Graph

Popular Examples

integral of x*e^{3*x}

\int x \cdot e^{3 \cdot x} d x

limit as x approaches-3 of 5(3x^2-24x+3)

x \to - 3 lim (5 (3 x^{2} - 24 x + 3))

integral from 0 to 4 of pi(2-sqrt(x))^2

\int_{0}^{4} π (2 - x)^{2} d x

f (x) = e^{2 x} \cdot 2

derivative of 2e^{x/2}

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

Frequently Asked Questions (FAQ)

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