📘 calculus, algebra, probability, complex analysis, geometry
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Integral Monotonicity And Probability
1. We are given the function $$f(x) = \int_0^x (\cos^{23} y)(2 + \sin^{23} y) \, dy$$ and asked on which intervals $$f$$ is increasing.
2. Since $$f(x)$$ is defined as an integral