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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

Evaluate the integral $\int_0^{0.3}\left(e^{-x^2}\right)dx$
$\frac{dy}{dt}=3ty+4$
Find the integral $\int\sin x3dx$
Find the integral $\int3x^3\sin\left(x^3\right)dx$
Evaluate the integral $\int_2^4e^{-t^2}dx$
$\frac{dy}{dx}=2xy\:+1$
Find the integral $\int e^{-3x^4}dx$
Find the integral $\int e^{x^{\frac{5}{3}}}x^{-4}dx$

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