Solveeit Logo

Question

Economics Question on Random variables

(e8lnxe4lnxe4lnxe2lnx)dx\int(\frac{e^{8\text{ln}x}-e^{4\text{ln}x}}{e^{4\text{ln}x}-e^{2\text{ln}x}})dx

A

e8xe4xe4xe2x+C\frac{e^{8x}-e^{4x}}{e^{4x}-e^{2x}}+C

B

x55+x33+C\frac{x^5}{5}+\frac{x^3}{3}+C

C

x55x33+C\frac{x^5}{5}-\frac{x^3}{3}+C

D

e4xe2xe2xex+C\frac{e^{4x}-e^{2x}}{e^{2x}-e^x}+C

Answer

x55+x33+C\frac{x^5}{5}+\frac{x^3}{3}+C

Explanation

Solution

The correct answer is (B) : x55+x33+C\frac{x^5}{5}+\frac{x^3}{3}+C