# What is the formula for integration?

## What is the formula for integration?

Formula for Integration: \int e^x \;dx = e^x+C.

## What are integration points in FEM?

An integration point is the point within an element at which integrals are evaluated numerically. These points are chosen in such a way that the results for a particular numerical integration scheme are the most accurate. Depending on the integration scheme used the location of these points will vary.

What is the integration of 2?

Integration is the reverse of differentiation. So the integral of 2 can be 2x + 3, 2x + 5, 2x, etc. For this reason, when we integrate, we have to add a constant. So the integral of 2 is 2x + c, where c is a constant.

### What is the integral at a point?

The integral under any point is always zero since there is no area to a point.

### What is CST and LST in FEM?

CST – Constant Strain Triangle – First order Triangle Element – 3 nodes per Triangle. LST – Linear Strain Triangle – Second order Triangle Element – 6 nodes in Triangle.

What is full integration?

The expression “full integration” refers to the number of Gauss points required to integrate the polynomial terms in an element’s stiffness matrix exactly when the element has a regular shape.

## What is a Gauss point?

In Gauss quadrature rule, the sampling points (called as the Gauss points) are chosen so as to minimize the error between the exact and approximate values. Therefore, the Gauss point coordinates become the roots of the Legendre polynomials .

## What is numerical integration in FEA?

Numerical Integration is of prime importance when we deal with Finite Element Analysis especially in case of ISOPARAMETRIC ELEMENTS. Gauss Quadrature formula is the most commonly used Numerical Integration schemes. In this method sampling points are located and weight factors are attached to it.

What is integration of 1?

The integration of 1 is x + C. It is written as ∫ 1 dx = x + C, where C is the integration constant.

### What is the integration of 0?

The integral of 0 is C. It is written as ∫ 0 dx = C, where C is the integration constant.