![]() ![]() If you do not know what it is, you can refer to this link. For this shortcut, we will need to know what the derivative of sec is. ![]() There are a few ways to do this, but the best way is to use a shortcut. If you are not very good at them, we recommend you to look at this link to practice! What is the antiderivative of secx? So make sure you know them well before tackling these questions. Inverse trig integrals are the ones we did earlier! One thing to also note is that a lot of antiderivatives in this section require you to know derivative of trig functions as well. Hence inverse trig integrals are different from reciprocal trig integrals. Note that reciprocal trig functions and inverse trig functions are NOT the same. In this section, we will focus on finding the antiderivative of trig functions that are reciprocals of tanx, sinx, and cosx, well as trigonometric functions which would require half angle identities to integrate. All of them require the use of integration by parts. Notice that the technique is very simple to the antiderivative of arctan. They show a step by step solution in finding these antiderivatives. Now if are interested in finding the antiderivative of arcsin and arccosx, then take a look at these links here. ![]()
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