(Integration Techniques) (a) Use the appropriate trigonometric substitution of the form r = f() to transform the integral /I- + 100 10r into one that involves the variable 8. Express this new integral only in terms of sin d and cose but do not evaluate this resulting integral. [5] (b) The resulting integral in (a), when evaluated, has the general antiderivative [5] sec e - In | esce + cote| + C. Without using any trigonometric functions, write this antiderivative in terms of the original vari- able r. (Your answer should show the related right triangle.)