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Question : 77 of 160
Marks:
+1,
-0
Solution:
Consider the integral,
I=dx ......(I)
Apply the property
f(x)dx=f(a−x)dx then,
I=dx ......(II)
Add equation (I) and (II),
2I=| sin2x+cos2x |
| sin‌x+cos‌x |
dx =dx =‌cosec(+x)‌d‌x Further simplify the above,
I=[log(√2+1)−log(√2−1)] =[2‌log(√2+1)] =[log(√2+1)]
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