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Popular >

integral of 100-2x

Solution

\int 100 - 2 x d x

Solution

100 x - x^{2} + C

Solution steps

\int 100 - 2 x 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 100 d x - \int 2 x d x

\int 100 d x = 100 x

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

= 100 x - x^{2}

Add a constant to the solution

= 100 x - x^{2} + C

Popular Examples

integral from 1 to 2 of (2x-5)^3

\int_{1}^{2} (2 x - 5)^{3} d x

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

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

integral of (x-sqrt(x)+1)(sqrt(x)+1)

\int (x - x + 1) (x + 1) d x

12x^3-3y^2sqrt(x^4+1)(dy)/(dx)=0

12 x^{3} - 3 y^{2} x^{4} + 1 \frac{d y}{d x} = 0

(\partial)/(\partial x)(cos^5(x^3y^8))

\frac{\partial}{\partial x} (cos^{5} (x^{3} y^{8}))

Frequently Asked Questions (FAQ)

What is the integral of 100-2x ?
The integral of 100-2x is 100x-x^2+C