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Popular >

integral of 3x^2-x

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

integral of e^{2x}cos(3x)

\int e^{2 x} cos (3 x) d x

derivative of y=((5x^2+9))/(x^2+1)derivative of

y = \frac{( 5 x ^{2} + 9 )}{x ^{2} + 1}

t(dy)/(dt)+ty=1-y

t \frac{d y}{d t} + t y = 1 - y

y(x^2+1)^3(dy)/(dx)=x(1-y^2)^2

y (x^{2} + 1)^{3} \frac{d y}{d x} = x (1 - y^{2})^{2}

area y= 5/2-1/x ,y=x area

y = \frac{5}{2} - \frac{1}{x}, y = x

Frequently Asked Questions (FAQ)

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