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Popular >

integral of f(x)

Solution

\int f (x) d x

Solution

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

Solution steps

\int f x d x

Take the constant out:

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

= f \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

y^'=(3xsec(y/x)+y)/x

y^{^{'}} = \frac{3 x sec ( \frac{y}{x} ) + y}{x}

derivative of f(x)=1-x derivative of

f (x) = 1 - x

derivative of (x^2-2x/(x+1))

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

y^{^{'}} = - \frac{y}{x} + e^{x}

derivative of f(x)=sin(3x)-cos(2x)derivative of

f (x) = sin (3 x) - cos (2 x)

Frequently Asked Questions (FAQ)

What is integral of f(x) ?
The answer to integral of f(x) is (fx^2)/2+C