Answer to Question #289783 in Calculus for Hussain Darboe

Question

1. Evaluate the indefinite integral of 1/(root x minus cube-root x) dx

2. Evaluate the indefinite integral of (3e^x +5) / (2e^x +7) dx

3. Find the indefinite integral of 1/ (1+e^x) dx

4. Evaluate the indefinite integral of 1/ (the root of (x+1) minus root x) dx

5. If a and b are positive numbers, show that the definite integral of x^a(1 minus x)^b dx from 0 to 1= integral of x^b(1 minus x)^a dx from 0 to 1.

6.Evaluate the integral of (x+3) / (root of (4 minus x^2) dx from 0 to 1.