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int e^(3x).sin 5x dx =...

`int e^(3x)`.sin 5x dx =

A

`(e^(3x))/(34) ` [ 3 sin 5 x + 5 cos 5 x ] + c

B

`(e^(3x))/(34) ` [ 3sin5 x- cos 5x ] + c

C

`(e^(3x))/(34) ` [ 5 sin 5 x + 3 cos 3x ] + c

D

`(e^(3x))/(34) `[ 5 sin 5x - 3 cos 5x ] + c

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • int e^(sinx) .sin2x dx =

    A
    `2e^("sinx")`(sinx + 1) + c
    B
    `e^("sinx")` (sinx +2) + c
    C
    `e^("sinx")` (2sinx - 2) + c
    D
    `e^("sinx")` (3 sinx - 2) +c

  • int 2^(x) .sin3x dx =

    A
    `(2^(x))/((log 2)^(2) + 9) ` [ (log 2 ).sin3 x - 3 cos 3x ] + c
    B
    `(2^(x))/((log 2)^(2) + 9) ` [ (log 2 ).sin3 x + 3 cos 3x ] + c
    C
    `(2^(x))/((log 2)^(2) + 9) ` [3 sin 3 x - (log2). cos 3x ] + c
    D
    `(2^(x))/((log 2)^(2) + 9) ` [3 sin 3 x + (log2). cos 3x ] + c

  • int e^(5x)sin 6xdx=

    A
    `(e^(5x))/(61)(5 sin 6x-6cos 6x)+c`
    B
    `(e^(5x))/(61)(5 sin 6x+6cos 6x)+c`
    C
    `(e^(5x))/(61)(5 sin 6x-2cos 6x)+c`
    D
    `(e^(5x))/(61)(5 sin 6x+2cos 6x)+c`

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    Evalute the following integrals int e^(x) sin^(2) x dx

    Evaluate int e^(x) sin 3x cos 3x dx

    int 3^(x) cos 5x dx =

    int e^(x) sin 3x cos 2x dx=

    If int e^(x) .(2sin3x + 5 cos 3x ) dx = (e^(x))/(a) [ b sin 3x + c cos 3x ] + K then (a, b ,c ) =

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