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Popular >

integral of t/2

Solution

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

Solution

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

Solution steps

\int \frac{t}{2} 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

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

integral from 1 to 2 of integral from 2 to 4 of xy^3(e^2)^{x^2y^2}

\int_{1}^{2} \int_{2}^{4} x y^{3} (e^{2})^{x^{2} y^{2}} d x d y

integral of xcos(2x)+x^3+4x+2+sec(2x)

\int x cos (2 x) + x^{3} + 4 x + 2 + sec (2 x) d x

dx+dy*e^{6*x}=0

d x + d y \cdot e^{6 \cdot x} = 0

x \frac{d y}{d x} - y = 1

Frequently Asked Questions (FAQ)

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