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Popular Calculus >

integral of (4x^3+2x)

Solution

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

Solution

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

Solution steps

\int 4 x^{3} + 2 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^{3} d x + \int 2 x d x

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

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

= x^{4} + x^{2}

Add a constant to the solution

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

Graph

Popular Examples

(\partial)/(\partial x)(xye^{3y})

\frac{\partial}{\partial x} (x y e^{3 y})

derivative of 10x^{1/5}

\frac{d}{d x} (10 x^{\frac{1}{5}})

integral of 1/(25-36x^2)

\int \frac{1}{25 - 36 x ^{2}} d x

ty^'+ty=1-y,y(1)=0

t y^{^{'}} + t y = 1 - y, y (1) = 0

integral of 1/(x-1)

\int \frac{1}{x - 1} d x

Frequently Asked Questions (FAQ)

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