To evaluate the integral Note You can earn partial credit on

To evaluate the integral

Note: You can earn partial credit on this problem.






I got the first and the third part, but I can\'t get the second part. Help?!

Solution

So, in the first part you set u = sqrt(5x+6) That means that e^(sqrt(5x+6)) becomes e^u Then we need to find the relationship between dx and du: We know that u = sqrt(5x+6), so we just differentiate both sides du = 5/(2sqrt(5x+6))dx or du= 5/(2u)dx Solving for dx gives us dx = (2u/5)du Now that we know these two parts, we can just replace e^(sqrt(5x+6)) with e^u and replace dx with (2u/5)du, so the answer will be (2u/5)e^u