![The value of the definite integral int0^(pi/2)sqrt(tanx)dx is (a) sqrt(2)pi (b) pi/(sqrt(2)) (c) 2sqrt(2)pi (d) pi/(2sqrt(2)) The value of the definite integral int0^(pi/2)sqrt(tanx)dx is (a) sqrt(2)pi (b) pi/(sqrt(2)) (c) 2sqrt(2)pi (d) pi/(2sqrt(2))](https://d10lpgp6xz60nq.cloudfront.net/web-thumb/646274123_web.png)
The value of the definite integral int0^(pi/2)sqrt(tanx)dx is (a) sqrt(2)pi (b) pi/(sqrt(2)) (c) 2sqrt(2)pi (d) pi/(2sqrt(2))
![Sketch the region of integration for the following integral: \int_{0}^{\sqrt \pi} \int_{y^2}^{\pi} \sqrt x \cos(x) dx dy | Homework.Study.com Sketch the region of integration for the following integral: \int_{0}^{\sqrt \pi} \int_{y^2}^{\pi} \sqrt x \cos(x) dx dy | Homework.Study.com](https://homework.study.com/cimages/multimages/16/hgtdiuhgtr1684798413435168836.png)
Sketch the region of integration for the following integral: \int_{0}^{\sqrt \pi} \int_{y^2}^{\pi} \sqrt x \cos(x) dx dy | Homework.Study.com
![The region bounded by the x-axis and the graph of y = cos x2 on the interval (0, sqrt pi/2) is revolved about the y-axis. Find the volume of the resulting solid. The region bounded by the x-axis and the graph of y = cos x2 on the interval (0, sqrt pi/2) is revolved about the y-axis. Find the volume of the resulting solid.](https://homework.study.com/cimages/multimages/16/capture_23286295300575973365.png)
The region bounded by the x-axis and the graph of y = cos x2 on the interval (0, sqrt pi/2) is revolved about the y-axis. Find the volume of the resulting solid.
![integral from -infinity to infinity of exp(-x^2) is sqrt(pi). I always found this very elegant. | Mathematics geometry, Physics and mathematics, Studying math integral from -infinity to infinity of exp(-x^2) is sqrt(pi). I always found this very elegant. | Mathematics geometry, Physics and mathematics, Studying math](https://i.pinimg.com/originals/d7/1d/08/d71d08985000300bde926b5739144e53.jpg)
integral from -infinity to infinity of exp(-x^2) is sqrt(pi). I always found this very elegant. | Mathematics geometry, Physics and mathematics, Studying math
![geometry - there is any relation between $\pi$, $\sqrt{2}$ or a generic polygon? - Mathematics Stack Exchange geometry - there is any relation between $\pi$, $\sqrt{2}$ or a generic polygon? - Mathematics Stack Exchange](https://i.stack.imgur.com/pFBV3.png)