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Popular >

integral of (7x+4y)

Solution

\int (7 x + 4 y) d y

Solution

2 y^{2} + 7 x y + C

Solution steps

\int 7 x + 4 y d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 4 y d y + \int 7 x d y

\int 4 y d y = 2 y^{2}

\int 7 x d y = 7 x y

= 2 y^{2} + 7 x y

Add a constant to the solution

= 2 y^{2} + 7 x y + C

Graph

Popular Examples

derivative of ((x^4+1)/(x^2-1))

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

area 3/x ,12x, 1/12 x area

\frac{3}{x}, 12 x, \frac{1}{12} x

derivative of x^3(1-x^{100}+x^4-5pi)

\frac{d}{d x} (x^{3} (1 - x)^{100} + x^{4} - 5 π)

y^{^{'}} + 7 y = 0

limit as x approaches 5 of 5/((x-2)^2)

x \to 5 lim (\frac{5}{( x - 2 ) ^{2}})

Frequently Asked Questions (FAQ)

What is the integral of (7x+4y) ?
The integral of (7x+4y) is 2y^2+7xy+C