Evaluate the following integrals:

∫ (e^{log x} + sin x) cos x dx

44

Evaluate the following integrals:

∫ (x + 1) log x dx

45

Evaluate the following integrals:

∫ x² tan^–1 x dx

47

Evaluate the following integrals:

48

Evaluate the following integrals:

∫ tan^–1 (√x) dx