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inte^(alogx)dx is equal to...

`inte^(alogx)dx` is equal to

A

`int(e^(alogx))/(a)+C`

B

`(x^(a+1))/(a+1)+C`

C

`(x^(a+1))/(a-1)`

D

`a.x^(a)+C`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • int(e^(alogx)+e^(xloga))dx is equal to

    A
    `(x^(a+1))/(a+1)`
    B
    `(x^(a+1))/(a+1)+(a^(x))/(loga)`
    C
    `x^(a+1)+a^(x)`
    D
    `(x^(a-1))/(a-1)+(loga)/(a^(x))`

  • int(cos^(-1)x+sin^(-1)x)dx is equal to

    A
    `(pi)/(2)+C`
    B
    `pix+C`
    C
    `(pi)/(2)+C`
    D
    None of these

  • int(e^(x))/(x)(1+xlogx)dx is equal to

    A
    `e^(x)logx+C`
    B
    `(e^(x))/(x)+C`
    C
    `(e^(x)logx)/(x)+C`
    D
    `e^(x)+C`

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