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Mathematical Expression Editor

Various exercises relating to trigonometric substitutions.

Compute the indefinite integrals below. Since there are many possible answers (which
differ by constant values), use the given instructions if needed to choose which
possible answer to use. Do not forget absolute value signs inside logarithms when
they are needed.

(Choose your answer to equal at .)

(Choose your answer to equal at .)

(Choose your answer to equal at .)

Sample Quiz Questions

Compute the integral (Hints won’t be revealed until after you choose a response.)

Begin by making the trig substitution .

It follows that

To finish, use the inversion
identity Therefore

Compute the integral (Hints won’t be revealed until after you choose a response.)

Begin by making the trig substitution .

It follows that

To finish, use the inversion
identity Therefore

Compute the integral (Hints won’t be revealed until after you choose a response.)