Find the given integral.
A)9sinh (9x + 5) + C
B)sinh (9x + 5)+ C
C) sinh (9x + 5) + C
D)-sinh (9x + 5)+ C

Question

Find the given integral. 
A)9sinh (9x + 5) + C 
B)sinh (9x + 5)+ C 
C) sinh (9x + 5) + C 
D)-sinh (9x + 5)+ C

Quizplus · Accepted Answer

The given integral is of the form e^ax where a = 9 and hence the antiderivative will be of the form (1/a)e^ax + C. Substituting the value of a, we get (1/9)e^(9x) + C. But as there is an additional sinh(9x+5), the final antiderivative will be (1/9)e^(9x)sinh(9x+5) + C, which matches with option C.

Find the Given Integral