Answer:
1)
2)
Step-by-step explanation:
Assuming that our function is for the first case and
for the second case.
Part 1
We can rewrite the expression like this:
And we can reorder the terms like this:
Now if we apply integral in both sides we got:
And after do the integrals we got:
Now we can use the initial condition
And the final solution would be:
Part 2
We can rewrite the expression like this:
And we can reorder the terms like this:
Now if we apply integral in both sides we got:
And after do the integrals we got:
Now we can use the initial condition
And the final solution would be: