en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-x^2+7

Solution

\int - x^{2} + 7 d x

Solution

- \frac{x ^{3}}{3} + 7 x + C

Solution steps

\int - x^{2} + 7 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 7 d x

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

\int 7 d x = 7 x

= - \frac{x ^{3}}{3} + 7 x

Add a constant to the solution

= - \frac{x ^{3}}{3} + 7 x + C

Popular Examples

integral of 1/(1+ax)

\int \frac{1}{1 + a x} d x

integral of 1/(3sqrt(2-3x))

\int \frac{1}{3 2 - 3 x} d x

integral of (3x+5)^2(3)

\int (3 x + 5)^{2} (3) d x

integral of 1/(sqrt(x^2-16x))

\int \frac{1}{x ^{2} - 16 x} d x

integral of (-sin(x))/(cos^3(x))

\int \frac{- sin ( x )}{cos ^{3} ( x )} d x

Frequently Asked Questions (FAQ)

What is the integral of-x^2+7 ?
The integral of-x^2+7 is -(x^3)/3+7x+C