What is the integral of 6x^5-18x^2+7 ?

The integral of 6x^5-18x^2+7 is x^6-6x^3+7x+C

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integral of 6x^5-18x^2+7

\int 6 x^{5} - 18 x^{2} + 7 d x

x^{6} - 6 x^{3} + 7 x + C

Solution steps

\int 6 x^{5} - 18 x^{2} + 7 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 18 x^{2} d x + \int 7 d x

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

\int 18 x^{2} d x = 6 x^{3}

\int 7 d x = 7 x

= x^{6} - 6 x^{3} + 7 x

Add a constant to the solution

= x^{6} - 6 x^{3} + 7 x + C

d x = x x^{2} - 16 d y

x \to 20 lim (10)

\int ((4 + x^{7})^{6} 7 x^{6}) d x

x \to 3 lim (10)

\frac{\partial}{\partial z} (ln (x yz))

What is the integral of 6x^5-18x^2+7 ?
The integral of 6x^5-18x^2+7 is x^6-6x^3+7x+C