Find the following antiderivative using trigonometric substitution. Do not use a calculator or other machine assistance. This trigonometric substitution starts with the substitution x = sin(0). The substitution opposite hypotenuse appears in this right triangle, because sin(0) = = x. %3D 1 a. Use the right triangle to find cos(0). Write in terms of x. cos(0) = 1 b. Take the derivative of both sides of the substitution equation to find dx = x' de. Write only in terms of 0 and de. dx = c. Transform the original antiderivative into an antiderivative written in terms of 0, by the following two substitutions: Replace your answer in (a) with cos(0). Replace dx with your answer in (b). 1- x2 dx = d. Compute the transformed antiderivative in terms of 0. You will need a trigonometric identity from the preceding trigonometric integrals lesson. Include +C. e. Rewrite your result in terms of the original variable x. You will need to solve the substitution equation x = sin(0) for 0. The identity for sin(20) will also be helpful. Include +C. dx =