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Please solve the question in the attachment.. .. .. ......... ...

Please solve the question in the attachment.. .. .. ......... ... 

Question Image
Grade:12th pass

1 Answers

Aditya Gupta
2075 Points
2 years ago
let theta=x
use the formula: tanx/2= (1-cosx)/sinx and sin^2x/x=(1-cosx)/2 and put cosx=y to obtain (y – 1)/[(y+1)(y^3+y^2+y)^0.5]dy
now, this is a really tricky integral and even wolfram alpha is unable to solve this. so the trick to solve it is to multiply the deno and num by (y+1) and then divide the num and denom by y^2 and set y+1/y=z so now you know how it is done :)
note that dz/dy= 1-1/y^2

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