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int (x^(6) -(1)/(x) +e^(x) +3)dx...

`int (x^(6) -(1)/(x) +e^(x) +3)dx`

Text Solution

Verified by Experts

The correct Answer is:
`(x^(7))/(7)-log x+e^(x) +3x +c`
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Knowledge Check

  • int_(0)^(1) ( dx)/( e^(x) + e^(-x)) is equal to

    A
    `(pi)/( 4)`
    B
    `(pi)/( 2)`
    C
    `tan^(-1) ((e-1)/( e+1))`
    D
    `tan^(-1) ((1-e)/( 1+e))`

    • Similar Questions

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    int_(0)^(1) (dx)/(e^(x)+e^(-x))

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    Evaluate the following: (i) int(sec^(2)x)/(3+tanx)dx " (ii) " int(e^(x)-e^(-x))/(e^(x)+e^(-x))dx (iii) int(1-tanx)/(1+tanx)dx " (iv) " int(1)/(1+e^(-x))dx

    (i) int (e^(x) .(1-x))/(x^(2))dx (ii) int ((1+sin x)/(1+cos x))e^(x) dx

    int_(0)^(1) ( dx)/( e^(x) + e^(-x)) is equal to

    (iii) int(e^(x)-1)/(1-e^(-x))dx

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