What is the integral of 3x^5-5x^9 ?

The integral of 3x^5-5x^9 is (x^6)/2-(x^{10})/2+C

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integral of 3x^5-5x^9

\int 3 x^{5} - 5 x^{9} d x

\frac{x ^{6}}{2} - \frac{x ^{10}}{2} + C

Solution steps

\int 3 x^{5} - 5 x^{9} 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 3 x^{5} d x - \int 5 x^{9} d x

\int 3 x^{5} d x = \frac{x ^{6}}{2}

\int 5 x^{9} d x = \frac{x ^{10}}{2}

= \frac{x ^{6}}{2} - \frac{x ^{10}}{2}

Add a constant to the solution

= \frac{x ^{6}}{2} - \frac{x ^{10}}{2} + C

d y = 2 t (y^{2} + 9) d t

n = 1 \sum \infty \frac{1}{n ^{\frac{4}{3}}}

\frac{\partial}{\partial x} (3 x + 6 y)

x \to 0 - lim (\frac{3}{x ^{2}})

y = x^{2}, y = x + 2, y = 0

What is the integral of 3x^5-5x^9 ?
The integral of 3x^5-5x^9 is (x^6)/2-(x^{10})/2+C