Find the most general antiderivative of the function. (check yo f(x) = 3^x + 7 sinh(x) f(x) = need ? watch it talk to a tutor

F(x)=+7cosh(x)+C

Step-by-step explanation:

The function is f(x)=3ˣ+7sinh(x), so we can define it as f(x)=g(x)+h(x) where g(x)=3ˣ and h(x)=7sinh(x).

Now we have to find the most general antiderivative of the function this means that we have to calculate wich is the same as

The sum rule in integration states that the integral of a sum of two functions is equal to the sum of their integrals. Then,

=

1- this is because of the rule for integration of exponencial functions, this rule is:

, in this case a=3

2- , number seven is a constant (it doesn´t depend of "x") so it "gets out" of the integral.

The result then is:

F(x)=

The letter C is added because the integrations is undefined.

a negative exponent is translated as follows:

so, we have

3030 ur welcome

step-by-step explanation: