- #1
fiziksfun
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So this is my first year of calculus and we're doing integrals using u-substitution
I'm having trouble with this integral:
integral of (1/x^2)*sec(1/x)*tan(1/x)dx
i let u=(1/x)
so du=(1/x^2)dx
so du(x^2)=dx
If I do this, the integral works out perfectly since the x^2 cancel out
so it equals sec(u) + C
HOWEVER, my question is
if i let u = (1/x)
why don't i replace the (1/x^2) (in the beginning of the integral) with u^2
CAN SOMEONE HELP ME??
I'm having trouble with this integral:
integral of (1/x^2)*sec(1/x)*tan(1/x)dx
i let u=(1/x)
so du=(1/x^2)dx
so du(x^2)=dx
If I do this, the integral works out perfectly since the x^2 cancel out
so it equals sec(u) + C
HOWEVER, my question is
if i let u = (1/x)
why don't i replace the (1/x^2) (in the beginning of the integral) with u^2
CAN SOMEONE HELP ME??