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integral 0 to pi 1dx/4+5sin 2 x …... could u please solve with detailed view

integral 0 to pi 1dx/4+5sin2x …... could u please solve with detailed view

Grade:12th pass

1 Answers

Arun
25763 Points
2 years ago
Dear student
 
Divide by cos²x
 
sec² x dx/4sec²x + 5 tan²x
 
Sec² x dx /4 + 9 tan²x
 
Now let tan x = t 
Hence sec²x dx = dt
 
Hence
dt/4 + 9t²
 
1/6 tan^-1 (3t/2) 
Now put limit

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