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If the integrand is a rational function of \( x \) and fractional powers of a linear fractional function of the form \( \frac{a x+b}{c x+d} \), then rationa'ization of the integral is affected by the substitution \( \frac{a x+b}{c x+d}=t^{m} \), where \( m \) is 1.c.m. of fractional powers
of \( \frac{a x+b}{c x+d} \)
If \( I=\int \frac{d x}{\sqrt[4]{(x-1)^{3}(x+2)^{5}}}=A\left(\frac{x-1}{x+2}\right)^{1 / 4}+C \) then
\( A \) is equal to
(a) \( 1 / 3 \)
(b) \( 2 / 3 \)
(c) \( 3 / 4 \)
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