problem on trigonometry

start from the LHS
use the formula for cos2x and sin2x

factorise the numerator
adjust the 1 in the denominator using trigonometry identity
write as a square

divide with sinx to change to cot x


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integral of arc (sin x)

integral of arc (sin x) using integration by parts

change to arc (sin x) . 1 and use integration by parts with

u = arc(sin x)  and v =1

formulae on integration
 
PAGE 1 BASIC INTEGRATION

PAGE 2 INTEGRATION BY SUBSTITUTION

 PAGE 3 INTEGRATION BY COMPLETION OF SQUARES

PAGE 4 INTEGRATION BY PARTS

PAGE 5 INTEGRATION BY MANIPULATION OF NUMERATOR IN TERMS OF DENOMINATOR


PAGE 6 INTEGRATION USING PARTIAL FRACTIONS

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