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Popular >

integral of u(t)

Solution

\int u (t) d t

Solution

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

Solution steps

\int u t d t

Take the constant out:

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

= u \cdot \int t d t

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 2x^2(x-2)(4x-5)

\int 2 x^{2} (x - 2) (4 x - 5) d x

integral of x^2cos(10x)

\int x^{2} cos (10 x) d x

integral of ((x+2))/((x+1)^2)

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

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

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

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

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

Frequently Asked Questions (FAQ)

What is the integral of u(t) ?
The integral of u(t) is (ut^2)/2+C