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Popular >

integral of-3x^2-2

Solution

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

Solution

- x^{3} - 2 x + C

Solution steps

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

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

\int 2 d x = 2 x

= - x^{3} - 2 x

Add a constant to the solution

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

Popular Examples

(\partial)/(\partial x)(ax^2+by^2)

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

derivative of x/(sqrt(x^2+81))

\frac{d}{d x} (\frac{x}{x ^{2} + 81})

derivative of f(x)=3x+8/(x^3)derivative of

f (x) = 3 x + \frac{8}{x ^{3}}

sum from n=0 to infinity of n+(-1)^n

n = 0 \sum \infty n + (- 1)^{n}

derivative of (e^x+e^{-x})/(e^{2x)}derivative of

\frac{e ^{x} + e ^{- x}}{e ^{2 x}}

Frequently Asked Questions (FAQ)

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