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integrate dx/{sinx+sin b}

integrate


dx/{sinx+sin b}

Grade:12

1 Answers

AskiitianExpert Shine
10 Points
12 years ago

Hi

Substitute sinx by using the formula sinx= 2tan(x/2)/ (1+ tan2(x/2))

Now put it in the expression, u ll get {sec2(x/2)}dx/ 2tan(x/2) + sinB(1 + tan2(x/2))

Now substitute tan(x/2) = t , therefore the numerator becomes dt, and hence it becomes integral of dt/ 2t + sinB (1 + t2) .

Use the formula fr such an expression for integral and find the final answer as sinB is cnstant and denominator is a simple quadratic eq.

 

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