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Evaluate: int(dx)/(x^2(x^4+1)^(3/4)) (A)...

Evaluate: `int(dx)/(x^2(x^4+1)^(3/4))` (A) `- ( 1 + 1/x^4)^(1/4) + c` (B) ` ( 1 + 1/x^4)^(1/4) + c` (C) `- ( 1 - 1/x^4)^(1/4) + c` (D) `- ( 1 +1/x^4)^(1/4) + c`

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To evaluate the integral \[ I = \int \frac{dx}{x^2 (x^4 + 1)^{3/4}}, \] we can follow these steps: ...
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Knowledge Check

  • int ((tan^(-1) x )^(3))/( 1+x^(2)) dx is equal to a) 3 ( tan^(-1) x )^(2) +C b) (1)/(4) ( tan^(-1)x)^(4) +C c) ( tan^(-1) x)^(4) + C d) none of these

    A
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    B
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    C
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    D
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