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

The integral from 3 to x^3 of t^2 is (x^9)/3-9

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integral from 3 to x^3 of t^2

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

\frac{x ^{9}}{3} - 9

Solution steps

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

Apply the Power Rule

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

= [\frac{t ^{3}}{3}]_{3}^{x^{3}}

Compute the boundaries:

\frac{x ^{9}}{3} - 9

= \frac{x ^{9}}{3} - 9

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What is the integral from 3 to x^3 of t^2 ?
The integral from 3 to x^3 of t^2 is (x^9)/3-9