Please write out all answers to the problem and show work.

Make a trigonometric substitution of the form x = asinB where 6 is restricted to the domain 3 S 9 SE and find the integral. 2.2. Find the area enclosed by the ellipse 4x2 + 25322 = 100 As part of your work, sketch a graph the ellipse. HELP: Use the method of trigonometric substitution to do the integral dx 3.3. Find I using the method oftrigonometric substitution x2 x2 + 16 4.4. The region Q = {(x,y)| 0 S y S 4Vx4 4x2, 3 S x S 5} is rotated about the line 3/ = 0. Find the resulting volume of this solid of revolution. Give a decimai answer rounded to two decimal pieces. HELP: Use the method of trigonometric substitution to do the integral 1 J2_9dx using the method of trigonometric substitution x _ 5.E. Find l Summary of Trigonometry Substitutions for this section Identity to use Expression Substitution Which 6 Is it valid for during the problem 1: TE (12):2 x=asin9 HE