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Popular Calculus >

integral of-x^2+3

Solution

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

Solution

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

Solution steps

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

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

\int 3 d x = 3 x

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

Add a constant to the solution

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

Graph

Popular Examples

derivative of xsqrt(x-3)

integral of 3sin(2t)

tangent of f(x)=4x^2-4x+1,\at x=1

tangent of f(x)=((x+2)/(x-2))^2,\at x=6

f^'(x)= 1/((1-x^2)^2)

Frequently Asked Questions (FAQ)

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