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Popular >

integral of 9x^2-8x

Solution

\int 9 x^{2} - 8 x d x

Solution

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

Solution steps

\int 9 x^{2} - 8 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 9 x^{2} d x - \int 8 x d x

\int 9 x^{2} d x = 3 x^{3}

\int 8 x d x = 4 x^{2}

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

Add a constant to the solution

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

Popular Examples

integral of 3/(sqrt(1+9x^2))

\int \frac{3}{1 + 9 x ^{2}} d x

integral of (sqrt(y^2-4))/y

\int \frac{y ^{2} - 4}{y} d y

derivative of (x^5-8x^3+x+6/x)

\frac{d}{d x} (\frac{x ^{5} - 8 x ^{3} + x + 6}{x})

limit as x approaches 0 of 2x^3-4x+2

x \to 0 lim (2 x^{3} - 4 x + 2)

integral of (2/x+3sin(x)-4e^x)

\int (\frac{2}{x} + 3 sin (x) - 4 e^{x}) d x

Frequently Asked Questions (FAQ)

What is the integral of 9x^2-8x ?
The integral of 9x^2-8x is 3x^3-4x^2+C