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Popular >

integral of 4y+2x-5

Solution

\int 4 y + 2 x - 5 d x

Solution

- 5 x + x^{2} + 4 y x + C

Solution steps

\int 4 y + 2 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 5 d x + \int 2 x d x + \int 4 y d x

\int 5 d x = 5 x

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

\int 4 y d x = 4 y x

= - 5 x + x^{2} + 4 y x

Add a constant to the solution

= - 5 x + x^{2} + 4 y x + C

Popular Examples

area y=x^2+1,x=0,x=6 area

y = x^{2} + 1, x = 0, x = 6

integral of-4sin(2x)+3

\int - 4 sin (2 x) + 3 d x

derivative of (6x-1/(4x+5))

\frac{d}{d x} (\frac{6 x - 1}{4 x + 5})

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

\int \frac{1}{2 x + 3} d x

derivative of (1/2 x^2-3^2)

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

Frequently Asked Questions (FAQ)

What is the integral of 4y+2x-5 ?
The integral of 4y+2x-5 is -5x+x^2+4yx+C