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Integrate Integral cos X dx\(1+sin^2x) Integral e^X sin e^X dx Integral 1/x (log x)

Integrate 
Integral cos X dx\(1+sin^2x)
 Integral e^X sin e^X dx
Integral 1/x (log x)

Grade:11

1 Answers

Arun
25763 Points
2 years ago
Dear student
 
please ask one question in one thread only.
 
I am solving only 1 question
 
cos x dx / (1 + sin2 x)
 
let sinx = t
 
cos x dx  = dt
 
now
 
dt / (1 + t^2)
 
on integrating
 
tan –1 t + c
 
 = tan –1 (sin x) + c

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