AryRezvani said:Homework Statement
(Between 0-3) ∫x3/√(x2+9)
The Attempt at a Solution
I attempted U sub, but that didn't work. Neither did integration by parts; however, I do remember my teacher using a method involving sub'ing an "x" or something.
Anybody?
Will edit in attempts as I search YouTube for tutorials.
An integral is a mathematical concept used to find the area under a curve. It is a fundamental concept in calculus that is used to solve a variety of problems in mathematics and science.
Integration limits are the upper and lower boundaries within which the integral is evaluated. They define the range over which the function is integrated and determine the size of the area under the curve.
To evaluate an integral using integration limits, you first need to identify the function to be integrated and the upper and lower limits. Then, you can use various techniques such as the fundamental theorem of calculus, substitution, or integration by parts to solve the integral and find the area under the curve.
Integration limits are crucial in determining the size of the area under a curve. They also help in solving various real-world problems by providing a specific range over which the integral is evaluated.
Yes, integration limits can be negative or infinite, depending on the problem. In some cases, the integration limits may extend to negative infinity or positive infinity, while in others, they may be negative or positive finite values. It all depends on the function being integrated and the problem at hand.