1. Integrate from (square root of 2, divided by 4) to (1/2): (dx) / (x^5*square root of ((16x^2)-(1)).
2. Integrate (x^2)/((36-x^2)^3/2) dx
All of this is by trig substitution and I am not getting anywhere with it :(
3. Integrate from 3 to 6: sq. rt of (x^2-9) all over x dx.
4. Integrate (8)/(x*sq rt of 5-x^2) dx
5. Integrate (t^5)/(sq rt of t^2+6) dt.
6. Integrate from -pi/2 to zero, (sin(t)) / sq rt of 1+(cos(t))^2 dt.
Please help me! Thank you!!