- #1
capicue
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I need a hint. Wolfram alpha says it equals pi/2, but I don't know how to get that.
\int_{-\infty}^{\infty} \frac{\sin^4(x)}{x^2}\, dx
\int_{-\infty}^{\infty} \frac{\sin^4(x)}{x^2}\, dx
To solve a tricky integral using Wolfram Alpha, you can input the integral into the search bar and click "solve." Wolfram Alpha will then show you the step-by-step solution, including any substitutions or manipulations needed to get to the final answer.
Wolfram Alpha has a vast database of mathematical algorithms and can solve a wide range of integrals, including tricky ones. However, there may be some integrals that are too complex for Wolfram Alpha to solve accurately.
One of the main benefits of using Wolfram Alpha to solve integrals is that it can provide step-by-step solutions, making it easier for users to understand the process and learn from it. Additionally, Wolfram Alpha can solve integrals much faster and more accurately than doing it by hand.
While Wolfram Alpha is a powerful tool for solving integrals, it may not be able to solve every integral accurately. Some integrals may be too complex for the algorithms used by Wolfram Alpha, or there may be errors in the input that can affect the accuracy of the solution.
Yes, you can use Wolfram Alpha to check your own manual solution of an integral. Simply input your solution into the search bar and compare it to the solution provided by Wolfram Alpha. This can help you identify any errors in your solution or confirm its accuracy.