18 Calculus questions attached below. Please show all steps to get the final answer.

Evaluate the indenite integral. 2 5 4) f 4h];- _ dx 1)f (2x5 - 7x3+7) dx 1 x (Round to three decimal places.) 4. 2) x 9x+8dx 2 x Find f such that the given conditions are satisfied. 5) f'(x) = x2 - 13x +7, HO) = 9 Evaluate the integral. 3 3)f (2x3-7x'2)dx 1 Solve the problem. Find the area of the shaded region. 6) A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by E'(x) = 4x + 6, where x is the number of days since the start of the job. Find the expenditure if the job takes 5 days. Find the area represented by the denite integral. 1 nf I8x- 3|dx -1 Find the specified area. 8) The area under the graph of f over the interval [- 2, 2] x): 5-x2, ifx