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ज्ञात करें int(dx)/(cos(x-a)cos(x-b))...

ज्ञात करें `int(dx)/(cos(x-a)cos(x-b))`

लिखित उत्तर

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`I=1/(sin(a-b))int(sin{(x-b)-(x-a)})/(cos(x-a)cos(x-b))dx`
`=1/(sin(a-b))int(sin(x-b)cos(x-a)-cos(x-b)sin(x-a))/(cos(x-a)cos(x-b))dx`
`=1/(sin(a-b))int[(sin(x-b)cos(x-a))/(cos(x-a)cos(x-b))-(cos(x-b)sin(x-a))/(cos(x-b)cos(x-a))]dx`
`=1/(sin(a-b))int[tan(x-b)-tan(x-a)]dx`
`=1/(sin(a-b))"log"|(sin(x-b))/(sec(x-a))|`
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