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Popular >

integral of 9x^2-4x

Solution

\int 9 x^{2} - 4 x d x

Solution

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

Solution steps

\int 9 x^{2} - 4 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 4 x d x

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

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

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

Add a constant to the solution

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

Popular Examples

(\partial)/(\partial x)(1+ln(x))

\frac{\partial}{\partial x} (1 + ln (x))

s(t)=(t^2+40t)/5

s (t) = \frac{t ^{2} + 40 t}{5}

(\partial)/(\partial x)(e^{(x^2-y^2)})

\frac{\partial}{\partial x} (e^{(x^{2} - y^{2})})

(36-x^2)(dy)/(dx)=1

(36 - x^{2}) \frac{d y}{d x} = 1

integral from 0 to pi/3 of (tan(x))^2

\int_{0}^{\frac{π}{3}} (tan (x))^{2} d x

Frequently Asked Questions (FAQ)

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