Mathematics, 05.09.2020 04:01 lunaandrew332
Given that 3 ex dx 1 = e3 − e, use this result to evaluate 3 5ex + 4 dx. 1
Answers: 3
, we are to use the result to evaluate 
, to do this the following steps must be followed.
![\int\limits^3_1 ({5e^x+4}) \, dx = 5\int\limits^3_1 {e^x} \, dx + 4\int\limits^3_1 {} \, dx\\\\since \int\limits^3_1 {e^x}dx = e^3-e\ hence;\\\int\limits^3_1 ({5e^x+4}) \, dx = 5(e^3-e) + 4\int\limits^3_1 {} \, dx\\\\\int\limits^3_1 ({5e^x+4}) \, dx = 5(e^3-e) + [4x]\limits^3_1\\\\\int\limits^3_1 ({5e^x+4}) \, dx = 5(e^3-e) + [4(3)-4(1)]\\\\\int\limits^3_1 ({5e^x+4}) \, dx = 5(e^3-e) + [12-4]\\\\\int\limits^3_1 ({5e^x+4}) \, dx = 5(e^3-e) + 8 \\\\](/tpl/images/0743/0084/9a6db.png)
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Given that 3 ex dx 1 = e3 − e, use this result to evaluate 3 5ex + 4 dx. 1...
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