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Popular >

integral of 3+4x^3

Solution

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

Solution

3 x + x^{4} + C

Solution steps

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

\int 3 d x = 3 x

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

= 3 x + x^{4}

Add a constant to the solution

= 3 x + x^{4} + C

Graph

Popular Examples

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

\int \frac{x}{2 x + 1} d x

integral of x\sqrt[3]{4x+27}

\int x 3 4 x + 27 d x

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

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

integral of 0.1e^x-0.1x

\int 0.1 e^{x} - 0.1 x d x

integral of x^2(x-8/x)

\int x^{2} (x - \frac{8}{x}) d x

Frequently Asked Questions (FAQ)

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