- #1
annie122
- 51
- 0
how do i integrate the function
sqrt(1 + 1/2(y^1/2 - y^(-1/2))^2) from 0 to 1??
sqrt(1 + 1/2(y^1/2 - y^(-1/2))^2) from 0 to 1??
Integration is a mathematical process that involves finding the area under a curve by summing up infinitesimally small rectangles.
Integration is used in various fields such as physics, engineering, economics, and statistics to solve problems involving quantities that change continuously over time or space.
Definite integration involves finding the exact value of the area under a curve within a specific range, while indefinite integration involves finding a general antiderivative of a function without specifying a range.
Integration is an essential concept in calculus as it allows us to calculate the area under a curve, which is crucial in solving various real-world problems. It is also used to find the volume and surface area of three-dimensional objects.
To solve an integration question, you need to follow the fundamental rules of integration, such as the power rule, substitution rule, and integration by parts. You also need to have a good understanding of the properties of integrals and practice solving various types of integration problems.