Use a substitution x=f(t) to transform
integral (0 to 1) x/(x+1) dx into
integral (0 to infinity) t/((2t+1)*(t+1)^2 dt
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i'll start with several substitutions:
1) put and your integral becomes
2) put and your integral becomes
3) put and your integral becomes and we're done.
you can combine all these substitutions into a single one.
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