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Popular >

integral of (3x^2-8x)

Solution

\int (3 x^{2} - 8 x) d x

Solution

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

Solution steps

\int 3 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 3 x^{2} d x - \int 8 x d x

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (sqrt(2+\sqrt{x)})/(sqrt(x))

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

limit as x approaches 1-of x+1

x \to 1 - lim (x + 1)

integral of ln(5t)

\int ln (5 t) d t

tangent of y=x^2-3x,(3,0)tangent of

y = x^{2} - 3 x, (3, 0)

y^'-3y=4e^{5t},y(0)=5

y^{^{'}} - 3 y = 4 e^{5 t}, y (0) = 5

Frequently Asked Questions (FAQ)

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