Answer Happy

Use the Fundamental Theorem of Calculus to find the derivative. . d psins si V1 1 - t2dt dx 3

Part 1. Suppose that you want to re-write an integral using a substitution, in this case, de z de Determine the correct substitution that will accomplish this. That is, find as a function of that allows you to re-write the integral as shown above. Tipo The function u(x) we want is u(x) = 1 - x? in which case the differential of u is -2x'dx Note: answer should be in the form u = f(x) and du = f'(x)dt Part 2. Evaluate the indefinite integral above in terms of u. Se du = Note: answer should be in terms of u only Part 3. Back substituting in the antiderivative you found in Part 2. above we have VO dr Note: answer should be in terms of only