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Popular >

integral of f(t)

Solution

\int f (t) d t

Solution

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

Solution steps

\int f t d t

Take the constant out:

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

= f \cdot \int t d t

Apply the Power Rule

: \frac{t ^{2}}{2}

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of ((x-2))/(x^2-4x+9)

\int \frac{( x - 2 )}{x ^{2} - 4 x + 9} d x

y^{''}+2y^'=-4sin(2x)

y^{^{''}} + 2 y^{^{'}} = - 4 sin (2 x)

integral of 1/(x^5-x^2)

\int \frac{1}{x ^{5} - x ^{2}} d x

derivative of (-2x^2+x+4/(x^2+4x-1))

\frac{d}{d x} (\frac{- 2 x ^{2} + x + 4}{x ^{2} + 4 x - 1})

limit as x approaches 0 of (-x^3)/(x^3)

x \to 0 lim (\frac{- x ^{3}}{x ^{3}})

Frequently Asked Questions (FAQ)

What is the integral of f(t) ?
The integral of f(t) is (ft^2)/2+C