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Popular >

integral of-x+4

Solution

\int - x + 4 d x

Solution

- \frac{x ^{2}}{2} + 4 x + C

Solution steps

\int - x + 4 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 d x + \int 4 d x

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

\int 4 d x = 4 x

= - \frac{x ^{2}}{2} + 4 x

Add a constant to the solution

= - \frac{x ^{2}}{2} + 4 x + C

Popular Examples

derivative of xsqrt(2x+1)derivative of

x 2 x + 1

(x+y)^2dx+(2xy+x^2-4)dy=0,y(1)=1

(x + y)^{2} d x + (2 x y + x^{2} - 4) d y = 0, y (1) = 1

integral of xsin(3)x^2

\int x sin (3) x^{2} d x

y^{^{'}} - 4 y = 0

integral of xcos(8x)

\int x cos (8 x) d x

Frequently Asked Questions (FAQ)

What is the integral of-x+4 ?
The integral of-x+4 is -(x^2)/2+4x+C