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Evaluate the integerals. int (2 cosx...

Evaluate the integerals.
`int (2 cosx +3 sin x)/(4 cos x + 5 sin x) dx`

Answer

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Knowledge Check

  • int (3cos x+2 sin x)/(4 cos x+3 sin x)dx=

    A
    `(1)/(25)log|4cos x+3 sinx|+(18)/(25)x+c`
    B
    `(1)/(25)log|4cos x+3 sinx|-(18)/(25)x+c`
    C
    `(1)/(25)log|4cos x-3 sinx|+(18)/(25)x+c`
    D
    none
  • int (3 cos 3x-2 sin 2x)/(cos 2x+ sin 3x)dx=

    A
    `-log |cos 2x-sin 3x|+c`
    B
    `log |cos 2x-sin 3x|+c`
    C
    `log |cos 2x+sin 3x|+c`
    D
    none
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