Polar equations can seem tricky, especially when it comes to taking derivatives. However, the derivative of a polar equation can be taken directly in polar coordinates without needing to convert to rectangular form. This article will guide you through the process with helpful examples. Which Derivative Are You Computing? In polar coordinates, you may want…
Read articleHello everyone! Today we will walk you through how to take the integral of $\csc(x)$. This is a highly unintuitive integral that cannot be solved by normal means, but $\csc(x)$ is also a very common function, so it’s important to know how to integrate it. The Integral First, we multiply the integrand of $\displaystyle\int\csc(x)\,dx$ by…
Read articleHello everyone! This article will walk you through how to take the integral of $x$. This is one of the most basic integrals, so it’s extremely important to know. Finding the Integral By the Fundamental Theorem of Calculus, $\displaystyle\dfrac{d}{dx} \int f(x)\,dx = f(x)$ for any continuous function $f(x)$. In other words, differention and integration are…
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