en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of-6x^2+10

Solution

\int - 6 x^{2} + 10 d x

Solution

- 2 x^{3} + 10 x + C

Solution steps

\int - 6 x^{2} + 10 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 6 x^{2} d x + \int 10 d x

\int 6 x^{2} d x = 2 x^{3}

\int 10 d x = 10 x

= - 2 x^{3} + 10 x

Add a constant to the solution

= - 2 x^{3} + 10 x + C

Graph

Popular Examples

derivative of f(x)=x^2+3x^6

(\partial)/(\partial x)(e^{2y})

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

limit as x approaches 1 of-x^2+5x-7

Frequently Asked Questions (FAQ)

What is the integral of-6x^2+10 ?
The integral of-6x^2+10 is -2x^3+10x+C