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Popular >

integral of 2x^2-3x

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

derivative of (2-x)/8 derivative of

\frac{2 - x}{8}

integral of x*e^{3x}

\int x \cdot e^{3 x} d x

(d^2y)/(dx^2)+9y=10cos(2x)

\frac{d ^{2} y}{d x ^{2}} + 9 y = 10 cos (2 x)

derivative of (x^3+8)/x derivative of

\frac{x ^{3} + 8}{x}

limit as x approaches 0+of log_{4}(2)

x \to 0 + lim (lo g_{4} (2))

Frequently Asked Questions (FAQ)

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