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Taylor series


Definition

In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point.


Problems Solved

Find the integral $\int\cos\left(x^2\right)dx$
Find the integral $\int-\frac{1}{2}\cdot \cos\left(x^2\right)dx$
Find the integral $\int\sin\left(x^2\right)dx$
Find the integral $\int e^{-1x^2}dx$
$\frac{dy}{dx}=2xy+1$
$\frac{dy}{dx}=xy+1$
$\frac{dy}{dx}=ye^{-x^2},\:y\left(4\right)=1$

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