Evaluate the definite Integral

1) Show using an appropriate u-substitution that Z 3 2 0 1 1 + 4x 2 dx = /6. Clarification:

limits of integration between square root of 3/2 and 0. 1/1+4x squared dx Answer pi/6.

2) Show using an appropriate u-substitution that Z 3 3 6 9 + x 2 dx = /6 Clarification

limits of integration between 3 and the square root of 3. 6/9+x squared dx Answer pi/6.

3) Show using an appropriate u-substitution that Z 2/3 0 3 4 + 9x 2 dx = /8 Clarification:

limits of integration between 2/3 and the 0. 3/4+9x squared dx Answer pi/8

(Hint: combine the methods used in problems 3 and 4 above)

Tutor Kindly give detailed information at every step.

Can you give some explanation re: "u" and "du" so that someone who is weak in math can follow through

Can you write legibly.

Thank you tutor.