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Evaluate int sec^(3)x dx....

Evaluate `int sec^(3)x dx`.

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To evaluate the integral \( \int \sec^3 x \, dx \), we can follow these steps: ### Step 1: Rewrite the Integral We can express \( \sec^3 x \) in a form that allows us to use integration techniques. We rewrite the integral as: \[ \int \sec^3 x \, dx = \int \sec x \cdot \sec^2 x \, dx \] ...
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Knowledge Check

  • int sec^((2)/(3))x dx=

    A
    `-3(tanx)^((1)/(3)+c`
    B
    `-3(tanx)^((-1)/(3)+c`
    C
    `3(tanx)^((-1)/(3)+c`
    D
    `(tanx)^((-1)/(3)+c`

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