Example 35  - Evaluate dx / 1 + root tan x - Chapter 7 CBSE - Examples

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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Example 35 (Method 1) Evaluate 6 3 1 + tan Let I = 6 3 1 1 + tan . I = 6 3 1 1 + sin cos . I = 6 3 1 1 + sin cos . I = 6 3 1 cos + sin cos I = 6 3 cos cos + sin I = 6 3 cos 6 + 3 cos 6 + 3 + sin 6 + 3 I = 6 3 cos 2 cos 2 + sin 2 I = 6 3 sin sin + cos Adding (1) and (2) i.e. (1) + (2) I + I = 6 3 cos sin + cos . + 6 3 sin sin + cos 2I = 6 3 cos + sin cos + sin 2I= 6 3 1. 2I= 6 3 I= 1 2 3 6 I= 1 2 2 6 = Example 35 (Method 2) Evaluate 6 3 1 + tan Let I = 6 3 1 1 + tan . I = 6 3 1 1 + tan 3 + 6 = 6 3 1 1 + tan 2 I = 6 3 1 1 + co Adding (1) and (2) I+I= 6 3 1 1 + tan + 1 1 + cot 2I= 6 3 1 + cot + 1 + tan 1 + tan 1 + cot 2I= 6 3 2 + cot + tan 1 + cot + tan + . 2I= 6 3 2 + cot + tan 1 + cot + tan + 2I= 6 3 2 + cot + tan 2 + cot + tan 2I= 6 3 2I= I 6 3 I= 1 2 3 6 I= 1 2 6 =

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