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Popular Calculus >

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

Graph

Popular Examples

integral of sin(e^x)^{e^x}

\int sin (e^{x}) d e^{e^{x}}

integral of x(x+2)^{12}

\int x (x + 2)^{12} d x

integral of (cos(x))/(sqrt(sin^2(x)+1))

\int \frac{cos ( x )}{sin ^{2} ( x ) + 1} d x

integral of (e/2)^{2x}

\int (\frac{e}{2})^{2 x} d x

integral of-3x^2+24x-41

\int - 3 x^{2} + 24 x - 41 d x

Frequently Asked Questions (FAQ)

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