What is the integral of (5x^{14}-11x^{32}) ?

The integral of (5x^{14}-11x^{32}) is (x^{15})/3-(x^{33})/3+C

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integral of (5x^{14}-11x^{32})

\int (5 x^{14} - 11 x^{32}) d x

\frac{x ^{15}}{3} - \frac{x ^{33}}{3} + C

Solution steps

\int 5 x^{14} - 11 x^{32} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 5 x^{14} d x - \int 11 x^{32} d x

\int 5 x^{14} d x = \frac{x ^{15}}{3}

\int 11 x^{32} d x = \frac{x ^{33}}{3}

= \frac{x ^{15}}{3} - \frac{x ^{33}}{3}

Add a constant to the solution

= \frac{x ^{15}}{3} - \frac{x ^{33}}{3} + C

What is the integral of (5x^{14}-11x^{32}) ?
The integral of (5x^{14}-11x^{32}) is (x^{15})/3-(x^{33})/3+C