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Popular >

integral of 10x-4x^3

Solution

\int 10 x - 4 x^{3} d x

Solution

5 x^{2} - x^{4} + C

Solution steps

\int 10 x - 4 x^{3} 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 10 x d x - \int 4 x^{3} d x

\int 10 x d x = 5 x^{2}

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

= 5 x^{2} - x^{4}

Add a constant to the solution

= 5 x^{2} - x^{4} + C

Popular Examples

integral of kxsqrt(kx^2+10)

\int k x k x^{2} + 10 d x

integral of (16y^3-3y^2+2)

\int (16 y^{3} - 3 y^{2} + 2) d y

integral of (x^4-x^3)/(4x^5-5x^4)

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

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

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

integral of (-4x)/(2+2x^2)

\int \frac{- 4 x}{2 + 2 x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 10x-4x^3 ?
The integral of 10x-4x^3 is 5x^2-x^4+C