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Popular Calculus >

integral of 5x^4-4x

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 30(x+5)(x+7)^4

\int 30 (x + 5) (x + 7)^{4} d x

y^{^{'}} = x (5 - y)

derivative of (g(x))/(1+f(x))

d er i v a t i v e \frac{g ( x )}{1 + f ( x )}

limit as x approaches-3 of (3x)/(9-x^2)

x \to - 3 lim (\frac{3 x}{9 - x ^{2}})

(dy)/(dx)=((x-1))/(y+2)

\frac{d y}{d x} = \frac{( x - 1 )}{y + 2}

Frequently Asked Questions (FAQ)

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