Evaluate using integration by parts. x4 In 4x dx O X 5 In 4x - X 6 + C 30 O In 4x - X 5 +C O 1 In 4x + X .5 + C 25 O 1 5 In 4x - 5 + C 25Find the indefinite integral using a table of integration formulas. xx4 + 81 dx O 1 4 (x\/x4 + 81 + 81 m x + + 81) + c O (x2\(x4 + 81 + 81 m x2+ + sil) + C O (xx4 + 81 + In x + \/x4 + 81 ) + c O (xx4 + 81 + In x + + 81 ) +cProvide an appropriate response. Find the area (to three decimal places) bounded by f(x) = x-e* and q(x) =4- x2. O 7.676 O 7.333 O 7.555 O 7.0Evaluate using integration by parts. [(x + 4) In x dx O x2 In x - - x2 - 4x + C O 2 In x - = 2 +4x + C O x2 In x - = x2 +C O In x 2 - 4x + CUse a graphing calculator to graph the equation over the indicated interval and nd the area between the curve and the x axis over that interval. Find the answer to two decimal places. y=x4-Inx:15x38 8.23 Solve the problem. The length of telephone calls {in minutes) in a public telephone booth has the probability density function: 1 we _ . t I] {it}: of a n olherwise Determine the probability that a call selected at random Iwill last between 2 and 6 minutes. {Round answer to two decimal places.) -:III:- 0.95 {:3 [1.55 {1:- 0.?1] ii:- 0.35 Use me Trapezeidal Rule to approximate the integral using the indicated value of n. 2 1! 6x2 ch: ;r1 = 4. Write answer as a whole number or reduced fraction. -:III:- 16 .:j:j:- 33 T :1- 33 -::'.:- i3 ' T