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3TT [4 marks] 7. Suppose that f satisfies the equation COS So f (t) dt. Use the 4 Fundamental Theorem of Calculus to differentiate both
3TT [4 marks] 7. Suppose that f satisfies the equation COS So f (t) dt. Use the 4 Fundamental Theorem of Calculus to differentiate both sides of this expression, then find f (1). [7 marks 8. Consider the indefinite integral Ja (27 + 5) doc. (a) Evaluate the indefinite integral using the substitution u = x7 + 5. (b) Now evaluate it using integration by parts with u = x and du = (x7 + 5) dx. (Note: no marks will be assigned for evaluating the integral using any other method.)
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