Please help me solve 5 problems for caluclus! It\'s been bothering me for some t

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Please help me solve 5 problems for caluclus! It's been bothering me for some time now. If you could show work so I could understand why the answer is that would be great!

Find a formula for f(x) given that f"{x) = 2cosx + 5sinx. f(0) = 10 and f(pi/2) = pi + 7. Suppose that p{x) is continuous at all real numbers and satisfies the following equations. What is the value of Evaluate the following limit. Use proper notation throughout your evaluation of this lim From section 5.2 we have the following property of definite integrals. If f(x) is continuous and m

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