Question

i)int(dx)/(11sin^2x+4cos^2x+5)

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Answer 1

int(dx)/(11sin^2x+4cos^2x+5)

this can't b solved; hope u understood..!

so chck it once

Answer 2

Step-by-step explanation:

1) convert (cos²x) to (1- sin²x)

2) proceed to divide with cos ²x in the numerator and denominator

3) convert (sec²x) to (1+ tan ²x)

4)substitute tan x for t

5) the form 1/ x²+a² is obtained which on integration gives 1/a tan -¹(x/a)

make use of that form and substitute tanx back in the place of t

for further reference see the pic