INTEGRAL CALCULUS – CHANGE OF ORDER OF INTEGRATION IIT JAM NOTES

INTEGRAL CALCULUS NOTES WITH PRACTICE QUESTIONS – CHANGE OF ORDER OF INTEGRATION

Complete set of notes on Integral Calculus that is exclusively compiled & managed by Dr Gajendra Purohit. To learn the concept in detail – watch. The notes and Solved Examples for IIT JAM Mathematics have been prepared according to the Mathematics exam syllabus.

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CHANGE OF ORDER OF INTEGRATION

Method :
Type – 1 :
1. If variable limit are of y; it means it is given that strip is parallel to y-axis.
2. Now, make a strip parallel to x-axis.
3. Now, put the limit according to the new strip.

Example :

Solution –

The region of integration is bounded by y = 0, y = x, x = 0, x = a

Type – 2 :
1. If variable limit are of y; it means it is given that strip is parallel to y-axis.
2. Now, make a strip parallel to x-axis.
3. Now, put the limit according to the new strip.

Example :

Solution –

The region of integration is bounded by y = 0, y = a, x = 0, x = y

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Answer in comment section –

Question 1)

Question 2)

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