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If the integrand is a rational function of `x` and fractinal powers of a linear fractional of the form `(Ax+B)/(Cx+D)`, then rationalization of the integral is affected by the substitution `(Ax+B)/(Cx+D)=t^(m)` If `int (dx)/(root(3)((x+1)^(2)(x-1)^(4)))=Kroot(3)((1+x)/(1-x))+C`, Then `K` is equal toA. `tan^(-1)(2x-3)^(1/6)`B. `(2x-3)^(1/6)`C. `3tan^(-1)(2x-3)^(1/6)`D. `4(2x-3)^(1/6)` |
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Answer» Correct Answer - A (1) Put `(2x-3)^(1/6)=t` (2) Put `(x+1)/(1-x)=t^(3)` |
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