Question Bank - Mathematics

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Evaluate ? (2sin 2x - ex) dx

A.
cos 2x + ex + C
B.
-cos 2x + ex + C
C.
-cos 2x - ex + C
D.
cos 2x - ex + C

Solution:

Concept:Some useful formulas are: ? sin ax dx = \(\rm -cosax\over a\) + C ? ex dx = ex + CCalculation: ? (2sin2x - ex) dx= ? 2sin2x dx - ? ex dx= \(\rm 2{-cos2x\over2 } - e^x + C\) ,where C is the constant of integration= - cos 2x - ex + C

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