en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (5x+7y)

Solution

\int (5 x + 7 y) d x

Solution

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

Solution steps

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

\int 5 x d x = \frac{5 x ^{2}}{2}

\int 7 y d x = 7 y x

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

Add a constant to the solution

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

Popular Examples

area f(x)=2sin(x)+x,-pi,pi area

f (x) = 2 sin (x) + x, - π, π

(2/((1-x)^3))^'

(\frac{2}{( 1 - x ) ^{3}})^{^{'}}

(\partial)/(\partial y)(cos(2y))

\frac{\partial}{\partial y} (cos (2 y))

integral from 1 to e of x^3*ln(x)

\int_{1}^{e} x^{3} \cdot ln (x) d x

(1-x^2)(dy)/(dx)=2y

(1 - x^{2}) \frac{d y}{d x} = 2 y

Frequently Asked Questions (FAQ)

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