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Popular >

integral of x^3+4x-3

Solution

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

Solution

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

Solution steps

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

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

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

\int 3 d x = 3 x

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

Add a constant to the solution

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

Popular Examples

integral of (3-4x)^8

\int (3 - 4 x)^{8} d x

integral of (1+2x)/(sqrt(9-4x^2))

\int \frac{1 + 2 x}{9 - 4 x ^{2}} d x

integral of 1/3 xe^x

\int \frac{1}{3} x e^{x} d x

integral of ((3x^2+4x+1))/(2x)

\int \frac{( 3 x ^{2} + 4 x + 1 )}{2 x} d x

integral of (x-1/(x^2))(x^2+2/x)^4

\int (x - \frac{1}{x ^{2}}) (x^{2} + \frac{2}{x})^{4} d x

Frequently Asked Questions (FAQ)

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