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Popular >

integral of-0.01x

Solution

\int - 0.01 x d x

Solution

- 0.005 x^{2} + C

Solution steps

\int - 0.01 x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 0.01 \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= - 0.01 \cdot \frac{x ^{2}}{2}

Simplify

- 0.01 \cdot \frac{x ^{2}}{2} : - 0.005 x^{2}

= - 0.005 x^{2}

Add a constant to the solution

= - 0.005 x^{2} + C

Popular Examples

integral of ((x-2)sqrt(1-x^2))/(1-x^2)

\int \frac{( x - 2 ) 1 - x ^{2}}{1 - x ^{2}} d x

derivative of (3x-4(5x+2))

\frac{d}{d x} ((3 x - 4) (5 x + 2))

(\partial)/(\partial x)(-y/(sqrt(x^2+y^2)))

\frac{\partial}{\partial x} (- \frac{y}{x ^{2} + y ^{2}})

tangent of y= 1/(1+x^2),(1,0.5)tangent of

y = \frac{1}{1 + x ^{2}}, (1, 0.5)

tangent of y=x^3+6x-2,(1,5)tangent of

y = x^{3} + 6 x - 2, (1, 5)

Frequently Asked Questions (FAQ)

What is the integral of-0.01x ?
The integral of-0.01x is -0.005x^2+C