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Popular >

integral of 4x^2-3x

Solution

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

Solution

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

Solution steps

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

\int 4 x^{2} d x = \frac{4 x ^{3}}{3}

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

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

Add a constant to the solution

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

Popular Examples

integral of (u^3-ue^{6-3u^2})

\int (u^{3} - u e^{6 - 3 u^{2}}) d u

integral of x^4(x^5-1)^3

\int x^{4} (x^{5} - 1)^{3} d x

integral of 12+sin(x)

\int 12 + sin (x) d x

integral of sqrt(a^2-x^2-y^2)

\int a^{2} - x^{2} - y^{2} d y

integral of x/(7x+2)

\int \frac{x}{7 x + 2} d x

Frequently Asked Questions (FAQ)

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