Q1. Evaluate the improper integralInt from 0 to 1 ln(x) Ans.The intergral of ln(x) is xlnx-x which can be found out by the parts method[xlnx-x] from 0 to 1[lnx/(1/x) - x] from 0 to 1The integrand gives the indeterminate form of type infinity/infinity at x=0so we'll solve it by applying L hospitals rulelimit as l goes to 0 [lnx/(1/x) - x] from l to 1 limit as l goes to 0 [lnx/(1/x)] from l to 1 - limit as l goes to 0 [x] from l to 1limit as l goes to 0 [ln(1)/(1/1) - ln(l)/(1/l)] - limit as l…See More

Q1. Evaluate by using substitutionInt from 0 to Pi/4 [cos^5(2x)Sin(2x)] Ans. 1/12 Q2. Find volume of the solid that is obtained when the region under the curve  over [2, 5] is revolved about x-axis. Ans. Since, we know that the volume of solids of revolution around x-axis is [Int from a to b (A(x)dx) ]([2sqrt(2)]-3) / (6sqrt(2)) Note: These answers might be wrong. Please do discuss here if your answers differs from mine. Peace!! :DSee More

Q. The following are the information available from the Trial Balance of Mr. Ali & Sons for the year ended on 31st December 2010. ParticularsDebit Rs.Credit Rs.Accounts Receivable205,000 Bad Debts8,000 Provision for doubtful debts 6,000 Adjustments:Write off Rs. 5,000 bad debts from accounts receivable.Maintain provision for doubtful debts at 5%. Required:1. Calculate new provision.2. Calculate the amount of Provision for doubtful debts to be appeared in Profit and Loss Account.3. Calculate…See More