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Popular >

integral of 4x^3-3x^2

Solution

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

Solution

x^{4} - x^{3} + C

Solution steps

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

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

\int 3 x^{2} d x = x^{3}

= x^{4} - x^{3}

Add a constant to the solution

= x^{4} - x^{3} + C

Popular Examples

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

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

integral of 4/(xsqrt(x^2-36))

\int \frac{4}{x x ^{2} - 36} d x

integral of 1/(yIn^2y)

\int \frac{1}{y I n ^{2} y} d y

integral of x^3(2-x^2)

\int x^{3} (2 - x^{2}) d x

integral of (x^2)/(sqrt(10x-x^2))

\int \frac{x ^{2}}{10 x - x ^{2}} d x

Frequently Asked Questions (FAQ)

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