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The value of int e^((x sin x+ cos x))...

The value of
`int e^((x sin x+ cos x)).((x^(4)cos^(3)x-x sin x + cos x)/(x^(2)cos^(2) x)) dx`, is equal to

Text Solution

Verified by Experts

The correct Answer is:
`e^((x sin x + cos x))*[(x-(1)/(x cos x))]+C`
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Knowledge Check

  • int(dx)/( sin^(2)x cos^(2)x) is equal to

    A
    `tanx + cot x+C`
    B
    `( tanx + cot x )^(2) +C`
    C
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    `- ( 1)/( 4) cos 2x + C`
    B
    `- ( 1)/( 8 ) cos 2x + C`
    C
    `(1)/(8) cos 2x + C`
    D
    ` - (1)/( 8 ) sin 2x + C`

  • int ( sin^(4) x - cos ^(4) x ) dx is equal to

    A
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    B
    `- ( 1)/(2) cos 2x +C`
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