What is the integral from b to 2b of x^6 ?

The integral from b to 2b of x^6 is (127b^7)/7

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integral from b to 2b of x^6

\int_{b}^{2 b} x^{6} d x

\frac{127 b ^{7}}{7}

Solution steps

\int_{b}^{2 b} x^{6} d x

Apply the Power Rule

= [\frac{x ^{7}}{7}]_{b}^{2 b}

Compute the boundaries:

\frac{128 b ^{7}}{7} - \frac{b ^{7}}{7}

= \frac{128 b ^{7}}{7} - \frac{b ^{7}}{7}

Simplify

= \frac{127 b ^{7}}{7}

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What is the integral from b to 2b of x^6 ?
The integral from b to 2b of x^6 is (127b^7)/7