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int (sin^6x+cos^6x+3 sin^2x cos^2 x)dx i...

`int (sin^6x+cos^6x+3 sin^2x cos^2 x)dx` is equal to

A

x+c

B

`3/2 "sin"2x+C`

C

`-3/2 "cos2x+C`

D

`1/3"sin"3x-cos 3x+C`

Text Solution

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The correct Answer is:
A
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Knowledge Check

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

    A
    tanx+cotx+c
    B
    tanx+cosecx+c
    C
    `-tanx+cotx+c`
    D
    `tanx+secx+c`

  • int(sin^(6)x+cos^(6)x+3sin^(2)x cos^(2)x)dx is equal to

    A
    `x+C`
    B
    `(3)/(2)sin2x+C`
    C
    `-(3)/(2)cos 2x+C`
    D
    `(1)/(3)sin 3x -cos 3x+C`

  • int 1/(sin^2x cos^2x )dx is equal to:

    A
    `tanx+cotx+c`
    B
    `tanx-cotx+c`
    C
    `tanx.cotx+c`
    D
    `tanx-cot2x+c`

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