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Evaluate intsec^(2)x"cosec"^(2)xdx....

Evaluate `intsec^(2)x"cosec"^(2)xdx`.

Text Solution

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`I=intsec^(2)x"cosec"^(2)xdx`
`=int(cos^(2)x+sin^(2)x)/(cos^(2)xsin^(2)x)dx`
`=int(sec^(2)x+"cosec"^(2)x)dx`
`=tanx-cotx+c`
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