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Popular >

integral of x^2-16x

Solution

\int x^{2} - 16 x d x

Solution

\frac{x ^{3}}{3} - 8 x^{2} + C

Solution steps

\int x^{2} - 16 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 x^{2} d x - \int 16 x d x

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

\int 16 x d x = 8 x^{2}

= \frac{x ^{3}}{3} - 8 x^{2}

Add a constant to the solution

= \frac{x ^{3}}{3} - 8 x^{2} + C

Popular Examples

laplacetransform t^2+6t-3 laplace transform

t^{2} + 6 t - 3

tangent of f(x)=3-4x^2,-61,\at x=4 tangent of

f (x) = 3 - 4 x^{2}, - 61, at x = 4

sum from n=1 to infinity of arctan(n)

n = 1 \sum \infty arctan (n)

integral of 2x^3+4

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

inverse oflaplace (20)/(s(s^2+2s+5))inverse laplace

\frac{20}{s ( s ^{2} + 2 s + 5 )}

Frequently Asked Questions (FAQ)

What is the integral of x^2-16x ?
The integral of x^2-16x is (x^3)/3-8x^2+C