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int" cos"^(3)(3x +5) dx...

`int" cos"^(3)(3x +5) dx`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(3)sin(3x+5)-(1)/(9)sin^(3)(3x+5)+C`
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Knowledge Check

  • int (cos^3 x + cos^5 x)/(sin^2 x + sin^4 x) dx =

    A
    `sin x - 2//sin x - 6 tan^(-1) (sin x)`
    B
    `sin x - 2//sin x + 5 tan^(-1)(sin x)`
    C
    `sin x - 6 tan^(-1) (sin x)`
    D
    none

  • int "sin"^3 x"cos"^3 x dx is equal to

    A
    `1/32 [-3/2 "cos"2x+1/6 "cos"6x]+C`
    B
    `1/16 [-3/2 "cos"2x+1/6 "cos"6x]+C`
    C
    `1/64 [-3/2 "cos"2x+1/6 "cos"6x]+C`
    D
    None of these

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    int(cos x)/(sin^(3)x)dx

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