Suppose that we are using substitution to find an antiderivative. If, after maki

Question

Suppose that we are using substitution to find an antiderivative. If, after making the substitution, we find that there is still an x-term left in the integrand, what should we do?

Possible answers

Go back to the equation relating x and u, solve for x, and substitute in the integrand.

Use an alternative method, because substitution will never give the antiderivative.

This would never happen if we made the correct substitution.

None of the above

Go back to the equation relating x and u, solve for x, and substitute in the integrand.

Use an alternative method, because substitution will never give the antiderivative.

This would never happen if we made the correct substitution.

None of the above

Explanation / Answer

Substitution could still possibly work. The correct choice is to go back to the equation relating x and u, solve for x, and substitute in the integrand

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