INTEGRATION PROBLEMS AND SOLUTIONS

Problem 1 :

Evaluate :

Solution :

Problem 2 :

Evaluate :

Solution :

Problem 3 :

Evaluate :

Solution :

Problem 4 :

Find a function f(x) that satisfies f'(x) = x3 and f(1) = 3.

Solution :

Problem 5 :

Suppose f(x) is a twice-differentiable function satisfying f"(x) = x2 + 1, f'(0) = 4, and f(0) = 2. What is f(x)?

Solution :

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