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Maths-

General

Easy

Question

The area of the region bounded by the curve y=f(x), x-axis and the ordinates x=a, x=b (a>b) is

$\int_{a}^{b} f(x) dx$
$\int_{a}^{b} f(y) dy$
$\int_{b}^{a} f(x) dx$
$\int_{b}^{a} f(y) dy$

hint Hint:

We have to find the area bounded by a curve y = f(x), x- axis and points x = 2 and x = 3.

The correct answer is: $not stretchy integral from text a end text to text b end text of text f(x) end text text end text text dx end text$

To find the area, we will integrate the function in the limits given.
The curve is a function of x. So, we have to integrate the the given function in terms of dx.
The limits on the function are x = a and x = b
So, we can write the area of the bounded region as follows:
Area = $integral subscript a superscript b f left parenthesis x right parenthesis d x$
This is the required value.

.

For such questions, we should be careful about the limits on variable.

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