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Popular >

integral of-2x+4

Solution

\int - 2 x + 4 d x

Solution

- x^{2} + 4 x + C

Solution steps

\int - 2 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 2 x d x + \int 4 d x

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

\int 4 d x = 4 x

= - x^{2} + 4 x

Add a constant to the solution

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

Popular Examples

(\partial)/(\partial x)(-8x)

\frac{\partial}{\partial x} (- 8 x)

integral of (x+2)^2

\int (x + 2)^{2} d x

integral of 6x^3e^{x^4}

\int 6 x^{3} e^{x^{4}} d x

integral of 4x^2cos(mx)

\int 4 x^{2} cos (m x) d x

integral of sqrt(x-3)

\int x - 3 d x

Frequently Asked Questions (FAQ)

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