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

The integral of 5x^3+2x-6 is (5x^4)/4+x^2-6x+C

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integral of 5x^3+2x-6

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

\frac{5 x ^{4}}{4} + x^{2} - 6 x + C

Solution steps

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

\int 5 x^{3} d x = \frac{5 x ^{4}}{4}

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

\int 6 d x = 6 x

= \frac{5 x ^{4}}{4} + x^{2} - 6 x

Add a constant to the solution

= \frac{5 x ^{4}}{4} + x^{2} - 6 x + C

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\int 3 x arccos (x) d x

\int π^{3 t} d t

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