en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (6x^2+5)

Solution

\int (6 x^{2} + 5) d x

Solution

2 x^{3} + 5 x + C

Solution steps

\int 6 x^{2} + 5 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 5 d x

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

\int 5 d x = 5 x

= 2 x^{3} + 5 x

Add a constant to the solution

= 2 x^{3} + 5 x + C

Popular Examples

integral of (1+3x+7x^2-2x^3)/(x^2)

\int \frac{1 + 3 x + 7 x ^{2} - 2 x ^{3}}{x ^{2}} d x

integral of 0.75(1-x^2)

\int 0.75 (1 - x^{2}) d x

integral of ln^x(x

\int ln^{x} (d) x d x

integral of 21xe^{-11x^2}

\int 21 x e^{- 11 x^{2}} d x

integral of (x+y)/(x-y)

\int \frac{x + y}{x - y} d x

Frequently Asked Questions (FAQ)

What is the integral of (6x^2+5) ?
The integral of (6x^2+5) is 2x^3+5x+C