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ज्ञात करें int(sin^(3)x+cos^3x)/(sin^2x ...

ज्ञात करें `int(sin^(3)x+cos^3x)/(sin^2x cos^2x)dx`.

लिखित उत्तर

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`int(sin^(3)x+cos^3x)/(sin^2x cos^2x)dx=int(sin^3)/(sin^2xcos^2x)dx+int(cos^3x)/(sin^2xcos^2x)dx`
`=(sinx)/(cos^2 x)dx+(cosx)/(sin^2 x) dx= (tanxsec x ds+cot x " coses x dx "`
`sec x - " coses x+c"`.
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