Final Answer
Step-by-step Solution
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Take $\frac{4}{2}$ out of the fraction
Learn how to solve differential equations problems step by step online.
$\int_{0}^{1}2t\cos\left(\frac{pi^2nt}{2}\right)dt$
Learn how to solve differential equations problems step by step online. Integrate the function (tcos((pi^2nt)/2)*4)/2 from 0 to 1. Take \frac{4}{2} out of the fraction. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. We can solve the integral \int t\cos\left(\frac{pi^2nt}{2}\right)dt by applying the method of tabular integration by parts, which allows us to perform successive integrations by parts on integrals of the form \int P(x)T(x) dx. P(x) is typically a polynomial function and T(x) is a transcendent function such as \sin(x), \cos(x) and e^x. The first step is to choose functions P(x) and T(x). Derive P(x) until it becomes 0.