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Integrate the following : (i) int(3x^(...

Integrate the following :
(i) `int(3x^(-7)+x^(-1))dx`

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AI Generated Solution

To solve the integral \( \int (3x^{-7} + x^{-1}) \, dx \), we can break it down into two separate integrals: \[ \int (3x^{-7} + x^{-1}) \, dx = \int 3x^{-7} \, dx + \int x^{-1} \, dx \] ### Step 1: Integrate \( 3x^{-7} \) ...
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Knowledge Check

  • Integrate the following : int(7e^(5x)+7^(x)+3)dx.

    A
    `7(e^(5x))/(5)+(7^(x))/(log_(e)7)+3x.`
    B
    `7(e^(5x))+(7^(x))/(log_(e)7)+3x.`
    C
    `(e^(5x))/(5)+(7^(x))/(log_(e)7)+x.`
    D
    `7(e^(5x))/(5)+(7^(x))/(log_(e)7)+3.`

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