What is the integral from x to x^4 of t^4 ?

The integral from x to x^4 of t^4 is (x^{20}-x^5)/5

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integral from x to x^4 of t^4

\int_{x}^{x^{4}} t^{4} d t

\frac{x ^{20} - x ^{5}}{5}

Solution steps

\int_{x}^{x^{4}} t^{4} d t

Apply the Power Rule

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

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

Compute the boundaries:

\frac{x ^{20}}{5} - \frac{x ^{5}}{5}

= \frac{x ^{20}}{5} - \frac{x ^{5}}{5}

Simplify

= \frac{x ^{20} - x ^{5}}{5}

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What is the integral from x to x^4 of t^4 ?
The integral from x to x^4 of t^4 is (x^{20}-x^5)/5