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

The integral from 5 to x of t^3 is (x^4-625)/4

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integral from 5 to x of t^3

\int_{5}^{x} t^{3} d t

\frac{x ^{4} - 625}{4}

Solution steps

\int_{5}^{x} t^{3} d t

Apply the Power Rule

: [\frac{t ^{4}}{4}]_{5}^{x}

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

Compute the boundaries:

\frac{x ^{4}}{4} - \frac{625}{4}

= \frac{x ^{4}}{4} - \frac{625}{4}

Simplify

= \frac{x ^{4} - 625}{4}

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What is the integral from 5 to x of t^3 ?
The integral from 5 to x of t^3 is (x^4-625)/4