evaluate the following integral
∫ sin 2x / a^2 + b^2 sin^2 (x) dx
evaluate the following integral
∫ sin 2x / a^2 + b^2 sin^2 (x) dx
∫ sin 2x / a^2 + b^2 sin^2 (x) dx
taniska , 11 Years ago
Grade 12
Integral Calculus> evaluate the following integral ∫ sin 2x ...
1 AnswersSanjeev Kumar
let a^2 + b^2 sin^2 (x) = t
b^2 sin 2x dx = dt
sin 2x dx = dt/b2
equating the the above value in
∫sin 2x / a^2 + b^2 sin^2 (x) dx
we get
∫dt/b2t
= 1/b2 ∫dt/t
= 1/b2 log t
= 1/b2 log (a^2 + b^2 sin^2 (x))
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