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(Solved): 61, 63, and 64 pls and explain  In Problems 61-67, use an area formula from geometry to find th ...



61, 63, and 64 pls and explain 

In Problems 61-67, use an area formula from geometry to find the value of each integral by interpreting it as the (signed) ar
In Problems 61-67, use an area formula from geometry to find the value of each integral by interpreting it as the (signed) area under the graph of an appropriately chosen function. 61. \( \int_{-2}^{3}|x| d x \) 62. \( \int_{-3}^{3} \sqrt{9-x^{2}} d x \) 63. \( \int_{2}^{5}\left(\frac{1}{2} x-4\right) d x \) 64. \( \int_{1 / 2}^{1} \sqrt{1-x^{2}} d x \) 65. \( \int_{-2}^{2}\left(\sqrt{4-x^{2}}-2\right) d x \) 66. \( \int_{0}^{1} \sqrt{2-x^{2}} d x \) 67. \( \int_{-3}^{0}\left(4-\sqrt{9-x^{2}}\right) d x \)


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