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Chapter 7 Class 12 Integrals
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Ex 7.3, 15 - Integrate tan3 2x sec 2x - Class 12 NCERT - Ex 7.3

Ex 7.3, 15 - Chapter 7 Class 12 Integrals - Part 2
Ex 7.3, 15 - Chapter 7 Class 12 Integrals - Part 3

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Transcript

Ex 7.3, 15 tan3 2 sec 2 Let I= 3 2 sec 2 = tan 2 2 . tan 2 . sec 2 = sec 2 2 1 2 . sec 2 Putting sec 2 = Differentiating w.r.t.x sec 2 = 2 sec 2 tan 2 = = 2 sec 2 tan 2 Putting values of sec 2x and dx in equation I = sec 2 2 1 2 . sec 2 = 2 1 2 . sec 2 2 sec 2 tan 2 = 2 1 2 = 1 2 2 1 = 1 2 2 1 = 1 2 2 + 1 2 + 1 + = 1 2 3 3 + Putting value of = 2 = 1 2 sec 3 2 3 sec 2 + = +

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