The integral of 4*e^(4x)*sin(e^(4x))dx can be solved using the substitution method. The correct substitution leads to the expression e^(4x)*-cos*[1/e^(4x)], confirming that the e^(4x) terms effectively cancel out during the integration process. This method is valid and provides a clear path to the solution.
PREREQUISITESStudents in calculus courses, particularly those studying integral calculus, and anyone looking to improve their skills in solving complex integrals involving exponential and trigonometric functions.
Yes.Steebly said:Homework Statement
Find integral of 4*e^(4x)*sin(e^(4x))dx
Homework Equations
The Attempt at a Solution
Can I do this in this math problem
I took the integral of 4e^(4x)*sin(e^(4x)) dx using substitution method. in the end I got e^(4x)*-cos*[1/e^(4x)] do the ex^4x just cancel out?