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Popular >

integral of 0.5x-5

Solution

\int 0.5 x - 5 d x

Solution

0.25 x^{2} - 5 x + C

Solution steps

\int 0.5 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 0.5 x d x - \int 5 d x

\int 0.5 x d x = 0.25 x^{2}

\int 5 d x = 5 x

= 0.25 x^{2} - 5 x

Add a constant to the solution

= 0.25 x^{2} - 5 x + C

Popular Examples

integral from 6 to 9 of y/(y^2-2y-3)

\int_{6}^{9} \frac{y}{y ^{2} - 2 y - 3} d y

derivative of 3csc(x+5cos(x))

\frac{d}{d x} (3 csc (x) + 5 cos (x))

integral from 4 to infinity of xe^{-4x}

\int_{4}^{\infty} x e^{- 4 x} d x

(\partial)/(\partial x)(3xyln(xy))

\frac{\partial}{\partial x} (3 x y ln (x y))

tangent of x^4-y^2=7,(2,3)tangent of

x^{4} - y^{2} = 7, (2, 3)

Frequently Asked Questions (FAQ)

What is the integral of 0.5x-5 ?
The integral of 0.5x-5 is 0.25x^2-5x+C