What is the integral of 6x^5-7x^4-6x^2 ?

The integral of 6x^5-7x^4-6x^2 is x^6-(7x^5)/5-2x^3+C

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integral of 6x^5-7x^4-6x^2

\int 6 x^{5} - 7 x^{4} - 6 x^{2} d x

x^{6} - \frac{7 x ^{5}}{5} - 2 x^{3} + C

Solution steps

\int 6 x^{5} - 7 x^{4} - 6 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 7 x^{4} d x - \int 6 x^{2} d x

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

\int 7 x^{4} d x = \frac{7 x ^{5}}{5}

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

= x^{6} - \frac{7 x ^{5}}{5} - 2 x^{3}

Add a constant to the solution

= x^{6} - \frac{7 x ^{5}}{5} - 2 x^{3} + C

\int cos (8)

\frac{d y}{d x} + \frac{( y ^{2} )}{x ^{2}} = 0

x \to - 1 + lim ((x + 1)^{0.5} + 2)

f (x) = (\frac{1}{2})^{x}

\int 3 cos (x) + \frac{2}{x} d x

What is the integral of 6x^5-7x^4-6x^2 ?
The integral of 6x^5-7x^4-6x^2 is x^6-(7x^5)/5-2x^3+C