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+16

Solution

\int x^{2} + 16 d x

Solution

\frac{x ^{3}}{3} + 16 x + C

Solution steps

\int x^{2} + 16 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 16 d x

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

\int 16 d x = 16 x

= \frac{x ^{3}}{3} + 16 x

Add a constant to the solution

= \frac{x ^{3}}{3} + 16 x + C

Popular Examples

integral of (e^{4x}+3)/(e^{2x)}

\int \frac{e ^{4 x} + 3}{e ^{2 x}} d x

integral of 1/(xx+1)

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

integral of u^{2/3}

\int u^{\frac{2}{3}} d u

integral of cos(x^2+y^2)

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

integral of (6x^3)/((x^4+2)^4)

\int \frac{6 x ^{3}}{( x ^{4} + 2 ) ^{4}} d x

Frequently Asked Questions (FAQ)

What is the integral of x^2+16 ?
The integral of x^2+16 is (x^3)/3+16x+C