Antiderivative

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socratic.org
https://socratic.org/questions/what-is-the-antiderivative-of-tan-x
What is the antiderivative of #tan(x)#? - Socratic
2014年10月16日 · Recall: int{g'(x)}/{g(x)}dx=ln|g(x)|+C (You can verify this by substitution u=g(x).) Now, let us look at the posted antiderivative. By the trig identity tan x={sin x}/{cos x}, int tan x dx=int{sin x}/{cos x}dx by rewriting it a bit further to fit the form above, =-int{-sin x}/{cos x}dx by the formula above, =-ln|cos x|+C or by rln x=lnx^r, =ln|cos x|^{-1}+C=ln|sec x|+C I hope that this …
socratic.org
https://socratic.org/questions/how-do-you-find-the-antiderivative-of-c…
How do you find the antiderivative of #cos^2 (x)#? - Socratic
2016年7月31日 · 1/4sin(2x)+1/2x+C The trick to finding this integral is using an identity--here, specifically, the cosine double-angle identity.
socratic.org
https://socratic.org/questions/what-is-the-antiderivative-of-cot-x
What is the antiderivative of #cot(x)#? - Socratic
2018年3月24日 · Learn how to find the antiderivative of cot (x) using a simple substitution. The answer is intcotxdx=ln|sinx|+C, where C is a constant of integration.
socratic.org
https://socratic.org/questions/what-is-the-antiderivative-of-e-2x
What is the antiderivative of #e^(2x)#? - Socratic
2015年3月27日 · Learn how to find the antiderivative of e^2x using integration by substitution or the chain rule. See two answers with explanations and examples on Socratic, a math learning community.
socratic.org
https://socratic.org/questions/what-is-the-antiderivative-of-arcsin-x
What is the antiderivative of #arcsin(x)#? - Socratic
2016年2月12日 · Learn how to find the antiderivative of arcsin(x) using substitution and integration by parts. See the answer, the steps and the diagram on Socratic.
socratic.org
https://socratic.org/questions/what-is-the-antiderivative-of-secx
What is the antiderivative of secx? - Socratic
2015年6月22日 · Learn how to find the antiderivative of secx using two different tricks. The first method involves multiplying by secx + tanx and the second method involves multiplying by (secx + tanx)/ (secx + tanx).
socratic.org
https://socratic.org/questions/what-is-the-antiderivative-of-1-1-x-2-2
What is the antiderivative of #(1)/(1+x^2)#? - Socratic
2016年1月23日 · The antiderivative of 1/(1+x^2) is the integral int 1/(1+x^2)dx which is equivalent to int 1/(1+x^2)dx=arctanx+C where arctanx is the inverse of the trigonometric function tanx and C is the integration constant.
socratic.org
https://socratic.org/questions/what-is-the-antiderivative-of-csc-2x
What is the antiderivative of csc^2x? - Socratic
2015年3月15日 · The antiderivative of csc^2x is -cotx+C. Why? Before trying anything 'fancy' (subsitutuion, parts, trig sub, misc sub, partial fractions, et c.) try 'staightaway' antidifferentiation. Do you know a finction whose derivative is csc^2x? Go through the list: d/(dx)(sinx)=cosx d/(dx)(cosx)=-sinx d/(dx)(tanx)=sec^2x Hang on! that's good! The derivative if a co function …
socratic.org
https://socratic.org/questions/how-do-you-find-the-antiderivative-for-t…
How do you find the antiderivative for the absolute value function
2015年2月24日 · Learn how to find the antiderivative of the absolute value function #f (x) = |x|# by splitting it into three cases: #x>=0#, #x=0#, and #x<0#. See the detailed solution and …
socratic.org
https://socratic.org/questions/how-do-you-find-the-antiderivative-of-e …
How do you find the antiderivative of #e^(3x)#? - Socratic
2016年12月24日 · How do you find the antiderivative of #e^(3x)#? Calculus Introduction to Integration Integrals of Exponential Functions. 1 Answer
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