Question

please solve the question i dont know the answer​

Answer 1

= (1/2) (integral) ex dx - (1/2) (integral) ex dx

solve left equation

= (1/2) ex - (1/2) (integral) ex dx

set

u = - x

then we find

du = - dx

substitute du= - dx, u= - x

= (1/2) ex + (1/2) (integral) - ex dx

= (1/2) ex + (1/2) (integral) eu du

solve the right integral

= (1/2) ex + (1/2) eu + C

substitute back u= - x

= (1/2) ex + (1/2) ex + C

=

ex + ex

2

+ C

which by definition

The answer is log cos hx + c

hope you understand

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