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inte^(x loga)*e^(x)dx=....+c...

`inte^(x loga)*e^(x)dx=....+c`

A

`((ae)^(x))/(1+loga)`

B

`(a*e^(x))/(1+loga)`

C

`(a^(x)*e)/(1+logx)`

D

`((ax)^(x))/(1+logx)`

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Knowledge Check

  • int 5^(x+1)*e^(2x-1)dx=....+c

    A
    `(5^(x+1)*e^(2x-1))/(log5)`
    B
    `(5^(x+1)*e^(2x-1))/(log5e)`
    C
    `(5^(x+1)*e^(2x-1))/(log5+2)`
    D
    `(5^(x+1)*e^(2x))/(5e)`

  • int(e^(-x))/(1+e^(x))dx=....

    A
    `log(1+e^(x))-x-e^(-x)+c`
    B
    `log(1+e^(x))+x-e^(-x)+c`
    C
    `log(1+e^(x))-x+e^(-x)+c`
    D
    `log(1+e^(x))+x+e^(-x)+c`

  • int x^(x)(1+logx)dx=....+c

    A
    `x^(x)logx`
    B
    `e^(x^(x))`
    C
    `x^(x)`
    D
    None of these

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