Popular Problems

Derivative of xsinx

To find the derivative of we will need to use the Product Rule, Power Rule on , and the derivative of . By the Product Rule, . By the Power Rule, the derivative of is equal to . The derivative of is equal to . Now, let’s compute the derivative

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integral of 1 x 2

Integration is a fundamental concept in calculus, representing the process of finding the area under a curve on a graph. It’s akin to summing up an infinite number of infinitesimally small pieces to find a whole. This process is not just a mathematical exercise but a tool that enables us to solve real-world problems ranging…

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Find the Integral 1/(x^2+1)

In the realm of calculus, certain integrals stand out for their frequent application and the elegant techniques required for their resolution. One such integral is 1/(x^2+1), notable for its direct connection to the arctangent function, a fundamental element in trigonometric calculations. The process of integrating 1/(x^2+1) showcases the synergy between algebraic expressions and trigonometric identities,…

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