U-Substitution is a technique used to solve integrals that involve a composite function, where the function inside the integral is made up of two or more simpler functions.
You can use u-Substitution when the integrand (the function inside the integral) contains a composite function, such as e^(-3x).
To solve an integral using u-Substitution, you first identify the inner function (also known as the u-function) and assign it to the variable u. Then, you take the derivative of u and use it to substitute for the other variables in the integrand. Finally, you integrate the new expression in terms of u and substitute back the original variable.
No, u-Substitution can only be used for integrals that involve a composite function. Other techniques, such as integration by parts, may be needed for other types of integrals.
You can check your solution by taking the derivative of your answer and making sure it matches the original integrand. You can also use an online calculator or graphing tool to visualize the integral and see if your solution is correct.