Problem 69E: Fill in the blank to make a true statement. 69. sin2x+____ =1 Problem 70E: Fill in the blank to make a true statement. 70. sec2x1=____ Problem 71E: Use an identity to reduce the power of the trigonometric function to a trigonometric function raised... Problem 72E: Use an identity to reduce the power of the trigonometric function to a trigonometric function raised... Problem 73E: Evaluate each of the following integrals by u-substitution. 73. sin3xcosxdx Problem 74E: Evaluate each of the following integrals by u-substitution. 74. cosxsinxdx Problem 75E: Evaluate each of the following integrals by u-substitution. 75. tan5(2x)sec2(2x)dx Problem 76E: Evaluate each of the following integrals by u-substitution. 76. sin7(2x)cos(2x)dx Problem 77E: Evaluate each of the following integrals by u-substitution. 77. tan(x2)sec2(x2)dx Problem 78E: Evaluate each of the following integrals by u-substitution. 78. tan2xsec2xdx Problem 79E: Compute the following integrals using the guidelines for integrating powers of trigonometric... Problem 80E: Compute the following integrals using the guidelines for integrating powers of trigonometric... Problem 81E: Compute the following integrals using the guidelines for integrating powers of trigonometric... Problem 82E: Compute the following integrals using the guidelines for integrating powers of trigonometric... Problem 83E: Compute the following integrals using the guidelines for integrating powers of trigonometric... Problem 84E: Compute the following integrals using the guidelines for integrating powers of trigonometric... Problem 85E: Compute the following integrals using the guidelines for integrating powers of trigonometric... Problem 86E: Compute the following integrals using the guidelines for integrating powers of trigonometric... Problem 87E: Compute the following integrals using the guidelines for integrating powers of trigonometric... Problem 88E: Compute the following integrals using the guidelines for integrating powers of trigonometric... Problem 89E: Compute the following integrals using the guidelines for integrating powers of trigonometric... Problem 90E: Compute the following integrals using the guidelines for integrating powers of trigonometric... Problem 91E: Compute the following integrals using the guidelines for integrating powers of trigonometric... Problem 92E: Compute the following integrals using the guidelines for integrating powers of trigonometric... Problem 93E: Compute the following integrals using the guidelines for integrating powers of trigonometric... Problem 94E: Compute the following integrals using the guidelines for integrating powers of trigonometric... Problem 95E: For the following exercises, find a general formula for the integrals. 95. sin2axcosaxdx Problem 96E: For the following exercises, find a general formula for the integrals. 96. sinaxcosaxdx . Problem 97E: Use the double-angle formulas to evaluate the following integrals. 97. 0sin2xdx Problem 98E: Use the double-angle formulas to evaluate the following integrals. 98. 0sin4xdx Problem 99E: Use the double-angle formulas to evaluate the following integrals. 99. cos23xdx Problem 100E: Use the double-angle formulas to evaluate the following integrals. 100. sin2xcos2xdx Problem 101E: Use the double-angle formulas to evaluate the following integrals. 101. sin2xdx+ cos2xdx Problem 102E: Use the double-angle formulas to evaluate the following integrals. 102. sin2xcos2(2x)dx Problem 103E: For the following exercises, evaluate the definite integrals. Express answer in exact form whenever... Problem 104E: For the following exercises, evaluate the definite integrals. Express answer in exact form whenever... Problem 105E: For the following exercises, evaluate the definite integrals. Express answer in exact form whenever... Problem 106E: For the following exercises, evaluate the definite integrals. Express answer in exact form whenever... Problem 107E: For the following exercises, evaluate the definite integrals. Express answer in exact form whenever... Problem 108E: For the following exercises, evaluate the definite integrals. Express answer in exact form whenever... Problem 109E: For the following exercises, evaluate the definite integrals. Express answer in exact form whenever... Problem 110E: For the following exercises, evaluate the definite integrals. Express answer in exact form whenever... Problem 111E: For the following exercises, evaluate the definite integrals. Express answer in exact form whenever... Problem 112E: Find the area of the region bounded by the graphs of the equations y=sinx , y=sin3x , x=0 , and x=2... Problem 113E: Find the area of the region bounded by the graphs of the equations y=cos2x , y=sin2x , x=4 , and x=4... Problem 114E: A particle moves in a straight line with the velocity function v(t)=sin(t)cos2(t) . Find its... Problem 115E: Find the average value of the function f(x)=sin2xcos3x over the interval [,] . Problem 116E: For the following exercises, solve the differential equations. 116. dydx=sin2x . The curve passes... Problem 117E: For the following exercises, solve the differential equations. 117. dyd=sin4() Problem 118E: For the following exercises, solve the differential equations. 118. Find the length of the curve... Problem 119E: For the following exercises, solve the differential equations. 119. Find the length of the curve... Problem 120E: For the following exercises, solve the differential equations. 120. Find the volume generated by... Problem 121E: For the following exercises, use this information: The inner product of two functions f and g over... Problem 122E: For the following exercises, use this information: The inner product of two functions f and g over... Problem 123E: For the following exercises, use this information: The inner product of two functions f and g over... Problem 124E: For each pair of integrals, determine which one is more difficult to evaluate. Explain your... Problem 125E: For each pair of integrals, determine which one is more difficult to evaluate. Explain your... format_list_bulleted