Please show work!

1. Evaluate the indefinite integral / xInxdx. p2 2. Evaluate the definite integral x In xdx. 3. Evaluate the indefinite integral / xcosxdx. (In x) 2 4. Evaluate the definite integral dx. 5. Evaluate the indefinite integral / sec' xdx. arcsin x 6. Use Integration by Parts to evaluate the indefinite integral dx. V1 + x (slightly tricky: hint v1 - x2 = (1 + x)(1 -x) will be useful.) 7. Use Integration by Parts to evaluate the definite integral x sin x dx. Be sure to use correct notation. Study the definite integral examples in the text