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Homework Statement
[tex]\int(x^4+2x^2+x+1)/(x^2+1)^x[/tex]
The Attempt at a Solution
am I supposed to multiply out the denominator then do u sub?
An integral is a mathematical concept that represents the area under a curve in a graph. It is used to calculate the total value of a function over a given interval.
To calculate an integral, you can use the Fundamental Theorem of Calculus, which involves taking the antiderivative of a function and evaluating it at the upper and lower limits of the integral.
A definite integral has specific upper and lower limits, while an indefinite integral does not have any limits and represents the general antiderivative of a function.
Integrals are commonly used in physics, engineering, and economics to solve problems related to areas, volumes, and rates of change. They are also used in calculating probabilities and in optimization problems.
Some common methods for solving integrals include substitution, integration by parts, and using trigonometric identities. Additionally, numerical methods such as the trapezoidal rule or Simpson's rule can be used when the integral cannot be solved analytically.