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This is a practice test for the real hest that will allowed. Be careful to show calculations and $($Not much credit will be given for final answe

Problem $1.$ Find the indefinite integral ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{x8}{\sqrt[\phantom{2}]{x-5}}dx$

Problem $2.$ Find the indefinite integral ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{1}{e^x}dx$