ã6.1 ã Area between Curves 1. Consider the region below the graph of y s arcsinin the first quadrant bounded by x and x 2 a. Set up, but DO NOT EVALUATE, the integral with respect to x that gives the area of the region. b. Set up, but DO NOT EVALUATE, the integral with respect to y that gives the area of the region. Consider the region between the graphs of 2. ys cos x and y-sin (2x) from x=0 to x=2 Set up, but DO NOT EVALUATE, the integral(s) with respect to x that gives the area of the enclosed region 3. Set up, but DO NOT EVALUATE, the integral(/s) with respect to x that gives the area region inthe firstquadrant bounded by the aes, y-e, x-ey and the line s 4? ã 7.1 ã Integration by Parts 1. Evaluate Jxtan dr 2. Evaluate jx arctan.x de 3. Evaluate (Inx) dx 4. Evaluate [sin xsinh x dx. 5. Evaluate Jsin(In.x)d 6. Consider the graph of the function f(x)-sin . Let R be the region bounded by y = f(x) and x-axis on the interval [0.11 a. Evaluate the area of R ã7.2ã Trigonometric Integrals cos'(arctan.x) r cos (arctan dx. 1. Evaluate Evaluate fsin'x cos' d 3. Evaluate fsin'xcos' r dr