These are integration questions. Please show all working for all questions.

Question 14 Not yet Consider the function over the interval [0, ~]. answered 1 + 3x2 Marked out of Calculate the following definite integral 5.00 Flag dx = 1 + 3x2 questionQues'i'm 16 Identify which of these integrals are improper: Not yet answered Select one or more: Marked out of O 1 1 2.00 / dx F Flag 0 1 _ x question 1 O / e'xdx 0 Question 15 Not yet answered Marked out of 6.00 V Flag question Using integration by parts, evaluate the following integral: /2x ln(5x) dx Enter the functions used in your working below: Finally, calculate the integral and enter the integral below: /de[