How do you evaluate #int# #arctan(sqrt(x))/sqrt(x)# dx?
Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.)
#int# #arctan(sqrt(x))/sqrt(x)# dx
Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.)
1 Answer
Jun 15, 2017
Explanation:
Use the u substitution.
u =
du =
2du =
Write the new formula after the u substitution.
2
Use table 89 to find the integral of 2
2
= 2[u
Replace the u variable back in the terms of x.
= 2[
Simplify the answer.
= 2[
= 2