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Popular >

integral of-x^2+6

Solution

\int - x^{2} + 6 d x

Solution

- \frac{x ^{3}}{3} + 6 x + C

Solution steps

\int - x^{2} + 6 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 6 d x

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

\int 6 d x = 6 x

= - \frac{x ^{3}}{3} + 6 x

Add a constant to the solution

= - \frac{x ^{3}}{3} + 6 x + C

Popular Examples

limit as x approaches 5 of 1/((x-5))

x \to 5 lim (\frac{1}{( x - 5 )})

(\partial)/(\partial x)(x^2 1/(y+1))

\frac{\partial}{\partial x} (x^{2} \frac{1}{y + 1})

tangent of y=(5x)/(x-3),(4,20)tangent of

y = \frac{5 x}{x - 3}, (4, 20)

integral of (x^2+2y)

\int (x^{2} + 2 y) d x

area sqrt(x-2),14-x,2 area

x - 2, 14 - x, 2

Frequently Asked Questions (FAQ)

What is the integral of-x^2+6 ?
The integral of-x^2+6 is -(x^3)/3+6x+C