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Chapter 14: Q 3 (page 1131)

Express 鈭�abfxdx in terms of something on the boundary of a,b.

Short Answer

Expert verified

The required value is :-

鈭�abfxdx=Fb-Fa, whereFis integral off.

Step by step solution

01

Step 1. Given Information

We have to find the value of the integral 鈭�abfxdxin terms of boundary ofa,b

02

Step 2. Required solution

Let the integral of function fxis Fx.

Then we have :-

鈭�abf(x)dx=F(x)]ab

Then put the limits, then we have :-

鈭�abf(x)dx=F(b)-F(a)

This is the required representation of the given integral in some boundary ofa,b.

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