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Power Series


Definition

In mathematics, a power series (in one variable) is an infinite series of the form $\displaystyle \sum _{n=0}^{\infty}a_{n}(x)^{n}$.

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Problems Solved

Find the integral $\int x\left(x\cdot\cos\left(x^2\right)\right)dx$
Find the integral $\int2\cos\left(x^2\right)dx$
$13\cdotxy-\frac{dy}{dx}=y^{3}e$
Find the integral $2\int_0^{\sqrt{x}}\left(\frac{1}{e^{b^2}}\right)dx$
$\frac{dy}{dx}=4x^3y-6x000$
$x^2\frac{dy}{dx}+xy=sin\left(x\right)$
Evaluate the integral $\int_0^4\left(e^{-x^2}\right)dx$

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