Question : Integral(1/xlnxln(lnx))dx [Hint: Let u = ln(lnx).] Enter your answer with any coefficients in front as integers or reduced fractions of form (a/b) : 2163443

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

61) ∫(1/xlnxln(lnx))dx [Hint: Let u = ln(lnx).]

Enter your answer with any coefficients in front as integers or reduced fractions of form (a/b).

62) ∫(sec²(lnx)/x)dx

Enter your answer with any coefficients in front as integers or reduced fractions of form (a/b).

63) ∫(2cos²xsinxdx)

Enter your answer with any coefficients in front as integers or reduced fractions of form (a/b).

64) ∫(cos2x/sin³2x)dx

Enter your answer with any coefficients in front as integers or reduced fractions of form (a/b). No parentheses around arguments of functions.

65) ∫(tan⁴2xsec²2xdx)

Enter your answer with any coefficients in front as integers or reduced fractions of form (a/b). No parentheses around arguments of functions.

66) ∫(sinxsin(cosx)dx)

Enter your answer with any coefficients in front as integers or reduced fractions of form (a/b).

67) ∫(tanxdx/ln(cosx))

Enter your answer with any coefficients in front as integers or reduced fractions of form (a/b).

68) ∫(tanxdx)

Enter your answer with any coefficients in front as integers or reduced fractions of form (a/b).

No parentheses around arguments of functions.

69) ∫(tanxln(cosx)dx)

Enter your answer with any coefficients in front as integers or reduced fractions of form (a/b).

70) ∫(cosx - sinx/cosx + sinx)dx

Enter your answer with any coefficients in front as integers or reduced fractions of form (a/b).

No parentheses around arguments of functions.

71) ∫(cosxsin²xdx)

Enter your answer with any coefficients in front as integers or reduced fractions of form (a/b).

No parentheses around arguments of functions.

72) ∫(cosxe^sinxdx)

Enter your answer with any coefficients in front as integers or reduced fractions of form (a/b).

No parentheses around arguments of functions.

73) ∫(e^2xcos(e^2x))dx

Enter your answer with any coefficients in front as integers or reduced fractions of form (a/b).

74) ∫(sinxe^{(x + cosx)}/e^x)dx

Enter your answer with any coefficients in front as integers or reduced fractions of form (a/b).

No parentheses around arguments of functions.

75) ∫(cotxcscxe^cscx)dx [Hint: (d/dx)cscx = -cotxcscx]

Enter your answer with any coefficients in front as integers or reduced fractions of form (a/b).

No parentheses around arguments of functions.

76) ∫(cos³)xdx [Hint: cos²x = 1 - sin²x.]

Enter your answer with any coefficients in front as integers or reduced fractions of form (a/b).

No parentheses around arguments of functions.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

77) Which of the following is acorrect substitution for the integral ?

A) u = lnx;

B) u= lnx;  du

C) u = lnx;

D) u = ;

E) u = lnx;