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फलनों का x के सापेक्ष समाकलन कीजिए - `(1)/(12-13sinx)` |
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Answer» Correct Answer - `(1)/(5)log[(6 tan x//2-1)/(6 tanx//2 -4)]` `int(dx)/(12-13 sinx)=int(dx)/(12-13 .(2tanx//2)/(1+tan^(2)x//2))` `=int(1+tan^(2)x//2)/(12(1+tan^(2)x//2)(-26tanx//2).dx` `=int(sec^(2)x//2)/(12(1+tan^(2)x//2)-26tanx//2)` अब माना `tanx//2= t rArr sec^(2)x//2 dx=2 dt` |
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