What is the integral of 6x^5-2x^4-9x^2 ?

The integral of 6x^5-2x^4-9x^2 is x^6-(2x^5)/5-3x^3+C

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integral of 6x^5-2x^4-9x^2

\int 6 x^{5} - 2 x^{4} - 9 x^{2} d x

x^{6} - \frac{2 x ^{5}}{5} - 3 x^{3} + C

Solution steps

\int 6 x^{5} - 2 x^{4} - 9 x^{2} 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 2 x^{4} d x - \int 9 x^{2} d x

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

\int 2 x^{4} d x = \frac{2 x ^{5}}{5}

\int 9 x^{2} d x = 3 x^{3}

= x^{6} - \frac{2 x ^{5}}{5} - 3 x^{3}

Add a constant to the solution

= x^{6} - \frac{2 x ^{5}}{5} - 3 x^{3} + C

4 x^{2} - 3 x - 5

\int \frac{( x ^{2} + 1 ) ^{2}}{x ^{2}} d x

\int cos (x) (e^{7 s i n (x)}) d x

\frac{( - 8 x )}{2 x - 1}

y^{^{'}} = \frac{2 x y ^{2} + 8 x}{( x ^{2} y + 3 y )}

What is the integral of 6x^5-2x^4-9x^2 ?
The integral of 6x^5-2x^4-9x^2 is x^6-(2x^5)/5-3x^3+C