what is the integral of secx tanx What is the Integral of Sec x The integral of sec x is ln sec x tan x C It denoted by sec x dx This is also known as the antiderivative of sec x We have multiple formulas for this But the more popular formula is sec x dx ln sec
sec x sec x Q If f x k cosx sinx f 0 3 f 2 15 find f x Find the area bounded by the curve y x x x axis and the ordinates x 1 x 1 Integration of the secant tangent function is an important integral formula in integral calculus and this integral belongs to the trigonometric formulae
what is the integral of secx tanx
what is the integral of secx tanx
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Integration Formulas For 1 x Tan x Cot x Sec x Csc x YouTube
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20 Points Trig Proof secx tanx 1 sinx cosx 1 Brainly
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Now let u tan x sec x you get sec x du u then you integrate both sides sec x dx du u ln u C ln tan x sec x C How do you integrate tan x sec x dx The integral is y cosx C Start by simplifying the function using the identities tan sin cos and sec 1 cos tanx secx sinx cosx 1 cosx sinx If you know your basic integrals sinx dx cosx C Hopefully this helps
u secx du 1 cosx 1 cos 2x sinxdx sinx cos 2xdx tanxsecxdx Therefore inttanxsecxdx intdu u secx C The integral of ln secx tanx can be solved using the substitution method where u secx tanx and du secx tanx dx This results in the integral becoming ln u du which can then be solved using integration by parts
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It s almost always correct to revert any trig function in an integral to its definition in terms of sinx and cosx So write secx 1 cosx cosx cos2x cosx 1 sin2x Then substitute u sinx and du cosxdx That leads to du 1 u2 which you then apply partial fractions to get an expression in Free Pre Algebra Algebra Trigonometry Calculus Geometry Statistics and Chemistry calculators step by step
I attempted this integral and I got a wildly different answer from wolframalpha so I couldn t get a proper confirmation whether or not the answer I got is correct To simplify this integral first I recalled somewhere from the back of my head that sec x tan x tan x over Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals For math science nutrition history geography engineering mathematics linguistics sports finance music
Tanx 1 Tanx Sinx sinx Cox Important Trig Identity YouTube
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what is the integral of secx tanx - u secx du 1 cosx 1 cos 2x sinxdx sinx cos 2xdx tanxsecxdx Therefore inttanxsecxdx intdu u secx C