brandon hodoan
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Homework Statement
Find the indefnite integral using trig substitution.
∫[(x^2) / (1+x^2)]dx
Homework Equations
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Indefinite Integral: How to Use Trig Substitution?
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Find the indefnite integral using trig substitution.
∫[(x^2) / (1+x^2)]dx
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The denominator should be ##sec^2(\theta)## so all you left with is ##\int tan^2\theta d\theta##. To calculate that make the substitution ##x=tan\theta## and notice that ##dx=(1+tan^2\theta)d\theta##.