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

The integral from x to 2x of t^3 is 4x^4-(x^4)/4

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integral from x to 2x of t^3

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

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

Solution steps

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

Apply the Power Rule

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

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

Compute the boundaries:

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

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

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What is the integral from x to 2x of t^3 ?
The integral from x to 2x of t^3 is 4x^4-(x^4)/4