6 x 10 + 4 x 3 x 10 - 3 x 4 - 1 ? d x , x 0 = _____________ (c is constant of integration)

Question

$\int \frac{6 x^{10} + 4}{x^{3} \sqrt{x^{10} - 3 x^{4} - 1}} d x, x > 0 =$ _____________ (c is constant of integration)

Smart Achievers · Accepted Answer

(2)

$\int \frac{6 x^{10} + 4}{x^{5} \sqrt{x^{6} - 3 - x^{- 4}}} d x = \int \frac{6 x^{5} + 4 x^{- 5}}{\sqrt{x^{6} - 3 - x^{- 4}}} d x$

$x^{6} - 3 - x^{- 4} = t (6 x^{5} + 4 x^{- 5}) d x = d t$

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