Integral of log(x)^2 by x: x*(log(x)^2-2*log(x)+2)+C To compute the integral oflog(x)2with respect tox, we can use integration by parts. Here are the steps: 1.Set up the integration by parts formula: 2.Chooseuanddv: ...
Log In Sign Up Subjects Math Calculus Integration by parts Evaluate the integral: ∫01lnxdx. Question: Evaluate the integral: ∫01lnxdx. Integration by Parts: Integration by parts is usually used to find the definite or indefinite integrals of a product of two functions. But ther...
An Integral Image is a transformed representation of an input image, where each pixel value corresponds to the sum of pixel values in a rectangular region of the original image. This transformation allows for efficient computation of the sum of pixel values in any given rectangular block of the...
Learn how the integral of ln(x) is solved. This lesson covers the steps to solve, including application and solution, and takes a look at...
Log In Sign Up Subjects Math Pre-Calculus Trigonometric functions What is the integral of 1/tan(x) dx?Question:What is the integral of 1/tan(x) dx?Integrals of Trigonometric Functions:For the six trigonometric functions, we have formulas for their integrals. These formulas are extremely ...
A concavity property of generalized complete elliptic integrals We prove that, for p ∈ ( 1 , ∞ ) and β∈ R , the function x β log 1 x p K p ( x p ) is strictly concave on ( 0 , 1 ) if and only if β≥λ ( p )... KC Richards,JN Smith - 《Integral Transforms & ...
Noun1. integral- the result of a mathematical integration; F(x) is the integral of f(x) if dF/dx = f(x) figuring,reckoning,calculation,computation- problem solving that involves numbers or quantities indefinite integral- the set of functions F(x) + C, where C is any real number, such...
∫excos(x)dx ∫cos3(x)sin(x)dx ∫2x+1(x+5)3 ∫ ∫ ∫ ∫ ∫ Description Integrate functions step-by-step Frequently Asked Questions (FAQ) What is the use of integration in real life? Integrations is used in various fields such as engineering to determine the shape and size of strcu...
An investigation into families of integrals containing powers of the arctanh and log functions will be undertaken in this paper. It will be shown that Euler sums play an important part in the solution of these integrals. In another special case we prove that the corresponding log-tanh integral...
Log In Sign Up Subjects Math Calculus Trigonometric substitution Evaluate the integral: ∫x1+x4dx. Question: Evaluate the integral: ∫x1+x4dx. Substitution Rule: We have an irrational integrand. We choose the term with the smallest power as the new variable. The integral in terms...