Question: Evaluate each integral based on inverse trigonometric functions.An answer with no sufficient detail will not receive full credits.(a)dx116x2int frac{dx}{sqrt{1-16x^2}}116x2dx(b)1x16x225dxint frac{1}{x sqrt{16x^2-25}}, dxx16x2251dx(c)e2te4t+9dtint frac{e^{2t}}{e^{4t}+9}, dte4t+9e2tdt
Evaluate each integral based on inverse trigonometric functions.An answer with no sufficient detail will not receive full credits.(a)dx116x2\int \frac{dx}{\sqrt{1-16x^2}}116x2dx(b)1x16x225dx\int \frac{1}{x \sqrt{16x^2-25}}\, dxx16x2251dx(c)e2te4t+9dt\int \frac{e^{2t}}{e^{4t}+9}\, dte4t+9e2tdt
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