en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (7x+5)

Solution

\int (7 x + 5) d x

Solution

\frac{7 x ^{2}}{2} + 5 x + C

Solution steps

\int 7 x + 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 7 x d x + \int 5 d x

\int 7 x d x = \frac{7 x ^{2}}{2}

\int 5 d x = 5 x

= \frac{7 x ^{2}}{2} + 5 x

Add a constant to the solution

= \frac{7 x ^{2}}{2} + 5 x + C

Graph

Popular Examples

integral of (5x+1)^9

\int (5 x + 1)^{9} d x

integral of 1/(sqrt(x^2+4/5))

\int \frac{1}{x ^{2} + \frac{4}{5}} d x

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

\int \frac{1}{( x + 3 ) ( x ^{2} + x + 1 )} d x

integral of 1/2 ((x^2)/2+1/4 cos(2x))

\int \frac{1}{2} (\frac{x ^{2}}{2} + \frac{1}{4} cos (2 x)) d x

integral of (x^2)/((9-y^2)^{5/2)}

\int \frac{x ^{2}}{( 9 - y ^{2} ) ^{\frac{5}{2}}} d x

Frequently Asked Questions (FAQ)

What is the integral of (7x+5) ?
The integral of (7x+5) is (7x^2)/2+5x+C