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Rudhreswaran G posted an Question

March 28, 2021 • 04:34 am

30 points

IIT JAM
Mathematics (MA)

Can some one explain this integration

1 Answer(s)

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A
Alka gupta

see also this....
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- Reply(3)
thanks for ur explanation last one doubt if we change the variable into t then we should only sub the limit value in t or we can sub limit value of y in variable t
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if you are not change the limit y into t ...then you have to put the value of t after integration then put the limit of y....
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but I suggest you " if you change the variable in integration then change the limit also in same variable ....
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>
Deepak singh 1

see , answer is 180 .
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it's all ok but after we changing y into t we want to change our limits know so if we change we will get 3 to 0 not 0 to 3 please clear that I think you have not changed the limit from y to t
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yes , you are correct . We should change limit if we put that in changed function. But here I have used old limit in old function . So, its also correct .
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but it is not correct know without changing the limit how can we proceed next step
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ok..thanks ..
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R
Rudhreswaran g

in previous question we taken that root 9-y^2 =t but here you taking this t differently why
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R
Rudhreswaran g

but i getting answer like this what should I do
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- Reply(7)
yes , this method is also correct . There are infact many ways to solve integration. answer will be same , don't worry.
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but - is not arriving in this answer of mine can you get the mistake
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see , here is your mistake .
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but my answer after substitution of limit it is positive please see my image above that I have worked and CRT my mistake
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it will be positive .
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it is not uploading network is slow
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can you see that above
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T