3. Evaluate the following integrals and state which case number from the lecture 3 notes each integral falls under. (a)cos.r sin rdr Hint: COS = = (cos x) sin rdx (b) sin Hint: Case 3 from lecture 3 notes sinr cos rdr (c) /sin sinr cos ada (d) / sin Hint: This is both case 3 and case 4 from lecture 3 notes. Either method will work. *(e) cos xdx Hint: This is case 5 from lecture 3 notes. Look at the last example of the lecture 3 notes to see how to start this question. Keep in mind that there will be a cos2 (2x) term appearing. To deal with this, you must use the identity once again: cos (2x)=1+cos(4). Notice that the input of cosine gets doubled when the identity is applied! cos r sin rdr *(f) cos