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Popular >

integral of 1/2 t

Solution

\int \frac{1}{2} t d t

Solution

\frac{t ^{2}}{4} + C

Solution steps

\int \frac{1}{2} t d t

Take the constant out:

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

= \frac{1}{2} \cdot \int t d t

Apply the Power Rule

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

= \frac{1}{2} \cdot \frac{t ^{2}}{2}

Simplify

\frac{1}{2} \cdot \frac{t ^{2}}{2} : \frac{t ^{2}}{4}

= \frac{t ^{2}}{4}

Add a constant to the solution

= \frac{t ^{2}}{4} + C

Popular Examples

integral of (3x+1)^{-2}

\int (3 x + 1)^{- 2} d x

integral of (12)/(x^2-4)

\int \frac{12}{x ^{2} - 4} d x

integral of (15)/(x^3+x^2)

\int \frac{15}{x ^{3} + x ^{2}} d x

integral of x+sin(2x)

\int x + sin (2 x) d x

integral of (t^2-6t+13)^{-1}

\int (t^{2} - 6 t + 13)^{- 1} d t

Frequently Asked Questions (FAQ)

What is the integral of 1/2 t ?
The integral of 1/2 t is (t^2)/4+C