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If int(cos theta)/(5 + 7 sin theta - 2 c...

If `int(cos theta)/(5 + 7 sin theta - 2 cos^2 theta) d theta = A log_e |B(theta)|+C `
where C is a constant of integration, then `(B(theta))/(A)` can be :

A

`(2sin theta + 1)/(sin theta + 3)`

B

`(2sin theta + 1)/(5(sin theta + 3) ) `

C

`(5(sin theta + 3))/(2 sin theta + 1)`

D

`(5 (2 sin theta + 1) )/(sin theta + 3)`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • Let I = int ((2 sin theta - ) cos theta)/(5 - cos^(2) theta - sin theta) d theta then I is equal to : (where C is a constant of integration )

    A
    ` 3 log_(e) (2 - cos theta) + (2)/( 2 - sin theta) + C`
    B
    ` 2 log_(e) (2 - sin theta) + (3)/( 2 - sin theta) + C`
    C
    `2 log_(e) (2 + cos theta) + (2)/( 2 - cos theta) + C`
    D
    `2 log_(e) (2 + sin theta) + (3)/( 2 - cos theta) + C`

  • int(sin^(6)theta+cos^(6)theta)/(sin^(2)theta cos^(2)theta)d theta=

    A
    `tan theta+cot theta+3theta+c`
    B
    `tan theta-cot theta-3theta+c`
    C
    `tan theta+cot theta-3theta+c`
    D
    `tan theta-cot theta+3theta+c`

  • If a cos theta - b sin theta =c , then a sin theta + b cos theta =

    A
    `+- sqrt( (a^(2) + b^(2) - c^(2)))`
    B
    `+- sqrt( (b^(2) + c^(2) - a^(2)))`
    C
    `+- sqrt( (c^(2) + a^(2) - b^(2)))`
    D
    none

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