Tan^2x sec^2 x dx b ? The chain rule says that after you have differentiated tan(2x) into sec^2(2x), you need to multiply the result by the argument (argument means whatever is inside the bracket In this case, d/dx (2x) =2, so this is the 2 Similarly, the derivative of (2x)^2 is 4x times the derivative of 2x, which is 4x*2, which is 8xWhat is the Antiderivative of Tan 2 x?
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Tan^2x antiderivative
Tan^2x antiderivative-2 Answers The answer is tanx−xc What is SEC equal to? The cos2(2x) term is another trigonometric integral with an even power, requiring the powerreducing formula again The cos3(2x) term is a cosine function with an odd power, requiring a substitution as done before We integrate each in turn below cos3(2x) = cos2(2x)cos(2x) = (1 − sin2(2x))cos(2x)
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What is the Antiderivative of Tan 2 x? The Second Derivative Of sec^2x To calculate the second derivative of a function, differentiate the first derivative From above, we found that the first derivative of sec^2x = 2sec 2 (x)tan(x) So to find the second derivative of sec^2x, we need to differentiate 2sec 2 (x)tan(x) We can use the product and chain rules, and then simplify to find the derivative of 2sec 2 (x)tan(x) isTo find an antiderivative for f;
What is the Antiderivative of Tan 2x?Antiderivative of 2tan x sec x Compute tan x sec 2 x dx in two different ways a) By substituting u = tan x b) By substituting v = sec x c) Compare the two results Solution a) Compute tan x sec 2 x dx by substituting u = tan x If u = tan x 2then du = sec x dx and tan x sec 2 x dx = u du = 1 u2 c 2 = 1 tan2 x c 2Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!
Integral of tan^2 (x) \square!Integration is an important tool in calculus that can give an antiderivative or represent area under a curve The indefinite integral of , denoted , is defined to be the antiderivative of In other words, the derivative of is Since the derivative of a constant is 0, indefinite integrals are defined only up to an arbitrary constantX sqrt (9x^24) dx c ?
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Transcript In differential calculus we learned that the derivative of ln (x) is 1/x Integration goes the other way the integral (or antiderivative) of 1/x should be a function whose derivative is 1/x As we just saw, this is ln (x) However, if x is negative then ln (x) is undefined!Anyone help plz Click to expand Integral of u^2 is NOT (u^3)/3 c Rather, integral of (u^2)du = (u^3)/3 c In (tan^2)x your 1st mistake is not writing dx Note that dx is NOT always du!!!!!Our calculator allows you to check your solutions to calculus exercises It helps you practice by showing you the full working (step by step integration) All common integration techniques and even special functions are supported
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Which means that (1=2)tan(2x) is an antiderivative of 1=cos2(2x) Therefore, an antiderivative of f is given by F(x) = e x lnx 3x 1 5 1 2 tan(2x) = e x lnx 3 x 5 2 tan(2x) 3Explain the di erence between an antiderivative and the antiderivative There are two methods that can be used for calculating the derivative of tan^2x The first method is by using the product rule for derivatives (since tan 2 (x) can be written as tan(x)tan(x)) The second method is by using the chain rule for differentiation Finding the derivative of tan^2x using the product rule(2x)dx O xº 2 In 2 tan (2x) C exe1 2 ln x įtan (2x) C etize1 2 ln («\ tan (2x) C 21 2 ln x £tan (2x
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Consider the integral $$\int \sec^4(x)\tan(x)$$ Now right off the bat I see two ways of solving this Let u= $\sec(x)$ 2Use integration by parts Now doing the first way results in the integrand looking like $$\int u^3du=\frac{1}{4}\sec^4(x)C $$ Which is correct but it's not the answer I'm looking for, so instead we'll do it the second wayThe Integral Calculator lets you calculate integrals and antiderivatives of functions online — for free!WolframAlpha Computational Intelligence i n t e g r a t e 1 / t a n ( x) ^ 2 Extended Keyboard Examples Compute expertlevel answers using Wolfram's breakthrough algorithms, knowledgebase and AI technology
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even though the answer is tanx integration of 1 tan^2x can be written x tan^3/3 isn't it?Find the antiderivative S xe sec? Transcript Example 14 Show that tan 3 tan 2 tan = tan 3 tan 2 tan We know that 3 = 2 Therefe, tan 3 = tan (2 ) tan 3 = tan 2 tan 1 tan 2 tan tan 3 tan 3 tan 2
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