Formulas in integration applications. Hello friends, here’s a collection of formulas in integration applications. Have a look!!

**Formulas in integration applications**

**Area**

Now the first two formulas are for the area under a curve.

Suppose is the equation of any curve. Then the area bounded by the curve, the -axis and the ordinates and will be

Suppose and are the parametric equations of a curve. Then the area bounded by the curve, the -axis and the ordinates and will be

**Mean value**

**How to get the mean value of a function**

The formula for the mean value of a function between and is

**Root mean square (rms) value of a function**

Suppose is the equation of a curve. Then the root mean square (rms) value of the function between ad will be

**Length of curves**

**Length of any curve – How to get that?**

Let’s suppose is the equation of any curve. Then the length of the curve between and is

**Length of a parametric curve | How it works?**

Suppose and are the parametric equations of a curve. Then the length of the curve between and is

Note: There are more formulas where we apply differentiation. As soon as I’ll write more on this topic, I’ll update this post.

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