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Popular >

integral of (10-5x)

Solution

\int (10 - 5 x) d x

Solution

10 x - \frac{5 x ^{2}}{2} + C

Solution steps

\int 10 - 5 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 10 d x - \int 5 x d x

\int 10 d x = 10 x

\int 5 x d x = \frac{5 x ^{2}}{2}

= 10 x - \frac{5 x ^{2}}{2}

Add a constant to the solution

= 10 x - \frac{5 x ^{2}}{2} + C

Popular Examples

x^2y^{''}+3xy^'+5y=0

x^{2} y^{^{''}} + 3 x y^{^{'}} + 5 y = 0

integral of sin^5(4x)cos(4x)

\int sin^{5} (4 x) cos (4 x) d x

(\partial)/(\partial y)(xe^{x^3})

\frac{\partial}{\partial y} (x e^{x^{3}})

derivative of y=2x-1 derivative of

y = 2 x - 1

limit as x approaches 7 of (pix)/6

x \to 7 lim (\frac{π x}{6})

Frequently Asked Questions (FAQ)

What is the integral of (10-5x) ?
The integral of (10-5x) is 10x-(5x^2)/2+C