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Popular >

integral of 4x^5+8x

Solution

\int 4 x^{5} + 8 x d x

Solution

\frac{2 x ^{6}}{3} + 4 x^{2} + C

Solution steps

\int 4 x^{5} + 8 x 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 4 x^{5} d x + \int 8 x d x

\int 4 x^{5} d x = \frac{2 x ^{6}}{3}

\int 8 x d x = 4 x^{2}

= \frac{2 x ^{6}}{3} + 4 x^{2}

Add a constant to the solution

= \frac{2 x ^{6}}{3} + 4 x^{2} + C

Popular Examples

integral of sqrt(y^2+x^2)

\int y^{2} + x^{2} d x

integral of 1/((81x^2+16)^2)

\int \frac{1}{( 81 x ^{2} + 16 ) ^{2}} d x

integral of+y^2e^{xy^2}

\int + y^{2} e^{x y^{2}} d x

integral of (sqrt(9x^2-25))/x

\int \frac{9 x ^{2} - 25}{x} d x

integral of (3m+4)^2

\int (3 m + 4)^{2} d m

Frequently Asked Questions (FAQ)

What is the integral of 4x^5+8x ?
The integral of 4x^5+8x is (2x^6)/3+4x^2+C