In the given equation as follows , use a table of integrals to find the indefini

Carol Gates 2021-10-17 Answered
In the given equation as follows , use a table of integrals to find the indefinite integral:
xarsc(x2+1)dx
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Expert Answer

Neelam Wainwright
Answered 2021-10-18 Author has 102 answers
In the given equation as follows , use a table of integrals to find the indefinite integral:-
xarsc(x2+1)dx
Solution:
xsec1(x2+1)dx
Let us substitute,
x2+1=z
2xdx=dz
Solution:
Now,
12sec1zdz
=12[sec1zdz[ddz(sec1z)dz]]
=12[zsec1z1z21z]
=12[(x2+1)sec1(x2+1)x2+1(x2+1)21]+C
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