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Popular >

integral of c(x)

Solution

\int c (x) d x

Solution

\frac{c x ^{2}}{2} + C

Solution steps

\int c x d x

Take the constant out:

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

= c \cdot \int x d x

Apply the Power Rule

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

= c \frac{x ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{c x ^{2}}{2}

Add a constant to the solution

= \frac{c x ^{2}}{2} + C

Popular Examples

derivative of h(x)=[(x+1)/(x-1)]^3 derivative of

h (x) = [\frac{x + 1}{x - 1}]^{3}

(\partial)/(\partial x)((y/z)^{1/x})

\frac{\partial}{\partial x} ((\frac{y}{z})^{\frac{1}{x}})

y^{''}+3y=48x^2e^{3x}

y^{^{''}} + 3 y = 48 x^{2} e^{3 x}

limit as x approaches 1 of x^{1/(1-x^2)}

x \to 1 lim (x^{\frac{1}{1 - x ^{2}}})

derivative of f(x)=x^{-4}derivative of

f (x) = x^{- 4}

Frequently Asked Questions (FAQ)

What is the integral of c(x) ?
The integral of c(x) is (cx^2)/2+C