Using the identity you mentioned, and considering that $f\in L^1(\Bbb R)$, you have: \begin{align}\int_{-\infty}^{+\infty}\frac{\cos^3x}{x^2+1}\mathrm dx&=\frac14\int_{-\infty}^{+\infty}\frac{\cos 3x+3\cos x}{1+x^2}\mathrm dx\\&=\frac18\int\left(\frac{e^{3...
Finding the area between two curves in integral calculus is a simple task if you are familiar with the rules of integration (see indefinite integral rules). The easiest way to solve this problem is to find the area under each curve by integration and then subtract one area from the other ...
There is a separate method in mathematics where we can solve big addition problems, even to the limits of infinity. Integration is a method that is used to find a summation under an expansive scale. The method is associated with a branch of mathematics calledcalculus. Integration is one of t...
Exponential functions, such as those in the form of e^x, have unique characteristics in calculus. Learn how to calculate the integrals of exponential functions, including those with trigonometric variables. Create an account Table of Contents Quick Calculus Review First Example: e^x Second Exampl...
how do i get to solve this integral,i have no idea whatsoever so no one should expect what i have done.it was presented to me by a colleague...
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