What is the integral of 6x^5-4x^3+2x-10 ?

The integral of 6x^5-4x^3+2x-10 is x^6-x^4+x^2-10x+C

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integral of 6x^5-4x^3+2x-10

\int 6 x^{5} - 4 x^{3} + 2 x - 10 d x

x^{6} - x^{4} + x^{2} - 10 x + C

Solution steps

\int 6 x^{5} - 4 x^{3} + 2 x - 10 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 6 x^{5} d x - \int 4 x^{3} d x + \int 2 x d x - \int 10 d x

\int 6 x^{5} d x = x^{6}

\int 4 x^{3} d x = x^{4}

\int 2 x d x = x^{2}

\int 10 d x = 10 x

= x^{6} - x^{4} + x^{2} - 10 x

Add a constant to the solution

= x^{6} - x^{4} + x^{2} - 10 x + C

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What is the integral of 6x^5-4x^3+2x-10 ?
The integral of 6x^5-4x^3+2x-10 is x^6-x^4+x^2-10x+C