Mathematics Past Questions and Answers

The indefinite integral of the function \(f(x)=x \cos x\) for any constant \(k\). is

Evaluate the integral \(\int_{1}^{2}\left(x^{2}+\frac{1}{x}\right) d x\).

The trigonometric expression \(\cos 2 A +\sin 2 A\) can be written as

Suppose \(D, E\) and \(P\) are subset of a universal set U. Let \(U\) be the set of natural numbers not greater than 10 , while \(D, E\) and \(P\) are respectively the set of odd numbers, even numbers and prime numbers. For any set \(X\), its complement \(X\) and \(Q\) denote the empty set.<br/><br/>Display the set \(D \cap P\)

Find \(D \cap E\)