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Question

Mathematics Question on Differential equations

dx(x1)34(x+2)54=∫\frac{dx}{(x-1)^{34} (x+2)^{\frac54}}=

A

43(x1x+2)14+c\frac{4}{3}(\frac{x-1}{x+2})^{\frac14}+c

B

34(x1x2)14+c\frac{3}{4}(\frac{x-1}{x-2})^{\frac14}+c

C

43(x+2x1)14+c\frac{4}{3}(\frac{x+2}{x-1})^{\frac14}+c

D

43(x1=2x1)14+c\frac{4}{3}(\frac{x-1=2}{x-1})^{\frac14}+c

Answer

43(x1x+2)14+c\frac{4}{3}(\frac{x-1}{x+2})^{\frac14}+c

Explanation

Solution

The correct option is (A) 43(x1x+2)14+c\frac{4}{3}(\frac{x-1}{x+2})^{\frac14}+c