MAT 17C Lecture 16: 10.7 (4-29) copy

3) Use basic integration formulas to find definite integral. dx x +1 2x+l d. cos 2xdx

In Exercises 1-6, sketch the region D indicated and integrate f(x, y) over D using polar coordinates. f(x, y) = ex4 + y4; x2 + y2 R In Exercises 7-14, sketch the region of integration and evaluate by changing to polar coordinates. In Exercises 7-14, sketch the region of integration and evaluate by changing to polar coordinates.

1. 3 cos(z) _ 2 cse(x) + ex-2xdx 3x2 -1 2, 2 sec(2) tan(2)+ dac dax 4. / 3en_ 2x2 + cos(x) + 5.