integration

Are questions 16-18 and 28-33 related to integration by parts ?? I don't need solution but just wanna know the method cuz I hvnt done integration by parts
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iTeachChem Helper
@Apu
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iSoham
iSoham7mo ago
how did u try to solve it first ? if u did not , try it with some basic stuff if u did - click - some of them are simple substitutions, pretty sure they teach this type of integration in substitution, like substitute the expression in the root with u and solve ahead
hardcoreisdead
hardcoreisdeadOP7mo ago
I've tried substituting the terms , doesn't really seem to work out tho Btw it's not all the questions, I've mentioned the range , the rest I've done
Priyam Alok
Priyam Alok7mo ago
@hardcoreisdead you have to do some transformations in these integrals
hardcoreisdead
hardcoreisdeadOP7mo ago
like...?
Comrade Rock Astley
Not necessarily, you can do it without ibp For example, if you have a term (A) inside a square root and another term outside (say B), try to convert B so that it's equal or comparable to A By comparable, I mean that the coefficient of the variable terms in B should be the same as in A you can do this by multiplying and dividing by some number etc.
hardcoreisdead
hardcoreisdeadOP7mo ago
I'll try a few and get back to you I tried and figured out a few Still stuck in a few like 18th and 16th
Comrade Rock Astley
For 16, multiply and divide by 7/3 For 18, convert x^2 into (1+x^2) - 1
DaddyCalling268
DaddyCalling2687mo ago
bro how do u know that we mulitply by 7/3
Comrade Rock Astley
Try to multiply and divide such that the coefficient of the variables match
hardcoreisdead
hardcoreisdeadOP7mo ago
could you pls share the steps for both ,i dont get it 18th is in terms of tan inverse btw
DaddyCalling268
DaddyCalling2687mo ago
bro thats the property
DaddyCalling268
DaddyCalling2687mo ago
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hardcoreisdead
hardcoreisdeadOP7mo ago
didnt know the tan inverse thing thanx
DaddyCalling268
DaddyCalling2687mo ago
np
TeXit
TeXit7mo ago
Comrade Rock Astley
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Comrade Rock Astley
This is easier to integrate (Q 16)
hardcoreisdead
hardcoreisdeadOP7mo ago
Woahhh Thanxx
DaddyCalling268
DaddyCalling2687mo ago
we can also use the property of m(x+b) +t then we compare the value and put it ang get the ans
iTeachChem
iTeachChem7mo ago
we good?
hardcoreisdead
hardcoreisdeadOP7mo ago
Yeah its all clear +solved @Comrade Rock Astley @DaddyCalling268
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