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Popular >

integral of x^2-9x+3

Solution

\int x^{2} - 9 x + 3 d x

Solution

\frac{x ^{3}}{3} - \frac{9 x ^{2}}{2} + 3 x + C

Solution steps

\int x^{2} - 9 x + 3 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 9 x d x + \int 3 d x

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

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

\int 3 d x = 3 x

= \frac{x ^{3}}{3} - \frac{9 x ^{2}}{2} + 3 x

Add a constant to the solution

= \frac{x ^{3}}{3} - \frac{9 x ^{2}}{2} + 3 x + C

Popular Examples

tangent of f(x)=xsqrt(x),(9,27)tangent of

f (x) = x x, (9, 27)

sum from n=1 to infinity of 9/(6+9^n)

n = 1 \sum \infty \frac{9}{6 + 9 ^{n}}

limit as x approaches-3 of (x^2-5)/(3-x)

x \to - 3 lim (\frac{x ^{2} - 5}{3 - x})

integral of 1/(1-9x^2)

\int \frac{1}{1 - 9 x ^{2}} d x

integral of 2cos(x^2)

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

Frequently Asked Questions (FAQ)

What is the integral of x^2-9x+3 ?
The integral of x^2-9x+3 is (x^3)/3-(9x^2)/2+3x+C