Consider the integral methods 4x 4x4 5 1 dx In the following

Last updated: 9/7/2023

Consider the integral methods 4x 4x4 5 1 dx In the following we will evaluate the integral using two A First rewrite the integral by multiplying out the integrand 9 4 4x4 x 1 dx 4x 4x da Then evaluate the resulting integral term by term 4x4 4x4 xr5 1 dr 10 4x4 x5 1 dx 2x 5 4x4 x5 1 dx x 10dw 5 4x 5 B Next rewrite the integral using the substitution w x5 1 424 25 c Evaluate this integral and back substitute for w to find the value of the original integral 43 C How are your expressions from parts A and B different What is the difference between the two Ignore the constant of integration answer from B answer from A Are both of the answers correct Be sure you can explain why they are