Find the antiderivative of expression with exponential terms

The video tutorial explains how to rewrite and simplify expressions involving exponential functions. It demonstrates breaking down expressions into integrals and setting up use substitution for easier integration. The process of integrating the expressions and substituting back the original variables is shown, concluding with the final solution.

What is the first step in simplifying the given exponential expression?

• Combine the exponents

• Divide the terms

• Multiply the terms

• Add the exponents

Which substitution is used for the integral of e to the 5x?

• u = -x

• u = 6x

• u = 5x

• u = x

How is the differential dx adjusted when u = 5x?

• Divide by 1/5

• Multiply by 1/5

• Divide by 5

• Multiply by 5

What is the result of integrating e to the u?

• e^x + C

• e^u + C

• x^e + C

• u^e + C

What is the final expression after re-substituting the original variables?

• e^-x - 1/5 e^5x + C

• 1/5 e^x - e^5x + C

• e^5x - 1/5 e^-x + C

• 1/5 e^5x - e^-x + C