Ex 7.2, 34 - Chapter 7 Class 12 Integrals
Last updated at July 11, 2018 by Teachoo
Transcript
Ex 7.2, 34 tan sin cos tan sin cos The given function cannot be integrated by direct substitution, Step 1: Simplify the given function tan sin cos = tan sin cos . cos cos = tan sin . cos 2 cos = tan cos 2 . sin cos = tan cos 2 . tan = tan 1 2 1 1 cos 2 = tan 1 2 1 cos 2 = tan 1 2 sec 2 tan sin cos = tan 1 2 sec 2 Step 2: Integrating the function tan sin cos . = tan 1 2 sec 2 . Let tan = Differentiating both sides . . . sec 2 = = sec 2 Thus, our equation becomes tan 1 2 . sec 2 . = 1 2 . sec 2 . sec 2 = 1 2 . = 1 2 +1 1 2 +1 + = 1 2 1 2 + = 2 1 2 + = 2 + = +
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