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Popular >

integral of 3x^2-3x

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (x^3-8)/(x^2+8)

\int \frac{x ^{3} - 8}{x ^{2} + 8} d x

integral of cos^2(ωx+φ)

\int cos^{2} (ω x + φ) d x

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

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

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

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

integral of x/(sqrt(x^2+14))

\int \frac{x}{x ^{2} + 14} d x

Frequently Asked Questions (FAQ)

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