Exercise
$\int_1^{\infty}\left(\sin\left(\frac{1}{x}\right)\right)dx$
Step-by-step Solution
Learn how to solve special products problems step by step online. Integrate the function sin(1/x) from 1 to infinity. We can solve the integral \int\sin\left(\frac{1}{x}\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du. Now, identify dv and calculate v. Solve the integral to find v.
Integrate the function sin(1/x) from 1 to infinity
Final answer to the exercise
The integral diverges.