Integration dx/1+sinx
Nettet16. nov. 2024 · selected Nov 16, 2024 by Jay01. Best answer. = sin 2x + I1. = sin 2x ∫ dx. = sin 2x + x + c. ← Prev Question Next Question →. NettetSolution ∫ sin x 1 + sin x d x Rationalising the denominator Rationalising the denominator dx ⇒ ∫ sin x 1 + sin x × 1 − sin x 1 − sin x dx ⇒ ∫ ( sin x − sin 2 x 1 − sin 2 x) d x ⇒ ∫ ( sin x cos 2 x − tan 2 x) d x ⇒ ∫ { sin x cos x × 1 cos x − ( sec 2 x − 1) } d x ⇒ ∫ ( sec x tan x − sec 2 x + 1) d x ⇒ sec x − tan x + x + C
Integration dx/1+sinx
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Nettet27. nov. 2016 · Integral of 1/ (2+sin (x)) (Weierstrass substitution + substitution) Integrals ForYou 109K subscribers Subscribe 334 39K views 6 years ago Integration by substitution Integral of... NettetIntegrate 1/ (1 + sin x)? Solution: We use one of the trigonometric identities to solve this. We will multiply numerator and denominator by of 1/ (1 +sin x) by (1 – sin x). Then we …
NettetIntegrate: int 2cosx ( 1 - sinx ) ( 1 + sin^2x )dx Question Integrate: ∫(1−sinx)(1+sin 2x)2cosx dx Medium Solution Verified by Toppr Consider the given integral. I=∫ (1−sinx)(1+sin 2x)2cosx dx Let t=sinx dt=cosxdx Therefore, I=∫ (1−t)(1+t 2)2 dt I=∫(1−t1 + t 2+1t+1)dt I=−∫t−11 dt+ 21∫ t 2+12t dt+∫ t 2+11 dt I=−ln(t−1)+ 21ln(t 2+1)+tan −1t+C Nettetਕਦਮ-ਦਰ-ਕਦਮ ਸੁਲਝਾ ਦੇ ਨਾਲ ਸਾਡੇ ਮੁਫ਼ਤ ਮੈਥ ਸੋਲਵਰ ਦੀ ਵਰਤੋਂ ਕਰਕੇ ਆਪਣੀਆਂ ਗਣਿਤਕ ਪ੍ਰਸ਼ਨਾਂ ਨੂੰ ਹੱਲ ਕਰੋ। ਸਾਡਾ ਮੈਥ ਸੋਲਵਰ ਬੁਨਿਆਦੀ ਗਣਿਤ, ਪੁਰਾਣੇ-ਬੀਜ ਗਣਿਤ, ਬੀਜ ਗਣਿਤ ...
NettetSolution Verified by Toppr Correct option is A) ∫ (t−3sinx)dxsin(x)= 1+tan 22x2tan 2x⇒∫ 1− 1+an 22x6an 22xdx⇒∫ 1+tan 22x−6tan 2x1+tan 22x dx⇒∫ tan 22x⋅2⋅tan 2x⋅3+9−8sec 22x dx⇒lettan 2x=t⇒ 21sec 22xdx=dt=dx=2 sec 22xdt⇒∫ (t−3) 2−( 8) 22dt⇒log 2 82 log ∣∣∣∣ t−3+ 8(t−3)− 8∣∣∣∣= 2 21 log ∣∣∣∣tan 2x−3+ 8tan 2x−3− 8∣∣∣∣ Nettet1. okt. 2024 · Calculus Introduction to Integration Integrals of Trigonometric Functions 1 Answer Shwetank Mauria Oct 2, 2024 ∫ 1 1 +sinx dx = tanx − secx and ∫ 1 1 + cos2x …
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NettetUse Math Input above or enter your integral calculator queries using plain English. To avoid ambiguous queries, make sure to use parentheses where necessary. Here are … Compute indefinite and definite integrals, multiple integrals, numerical integration, … buildapc wireless keyboard biosNettetLösen Sie Ihre Matheprobleme mit unserem kostenlosen Matheproblemlöser, der Sie Schritt für Schritt durch die Lösungen führt. Unser Matheproblemlöser unterstützt grundlegende mathematische Funktionen, Algebra-Vorkenntnisse, Algebra, Trigonometrie, Infinitesimalrechnung und mehr. buildapc video editing redditNettetThis video will present a step by step explanation of how you integrate 1/sinx. The integration of 1 over sinx is a challenging integral that requires the use of several trig... crosstownokcNettetCalculadoras gratuitas paso por paso para álgebra, Trigonometría y cálculo crosstown near meNettet4. aug. 2024 · Best answer. Multiplying Numr and Denr with (1 + sinx) ∫ 1+sinx cos2x dx ∫ 1 + s i n x c o s 2 x d x = ∫sec2x + sec x tan x dx. = tan x + sec x + c. ← Prev Question … build a pc tycoonNettet11. apr. 2024 · @jankalyanguru build a pc store near meNettet2. mar. 2024 · Explanation: We need cos2x = 1 − sin2x Therefore, ∫ tanxdx 1 −sinx = ∫ sinxdx cosx(1 − sinx) = ∫ sinxcosxdx cos2x(1 −sinx) = ∫ sinxcosxdx (1 −sin2x)(1 −sinx) = ∫ sinxcosxdx (1 + sinx)(1 − sinx)2 Perform the substitution u = sinx, ⇒, du = cosxdx Therefore, ∫ tanxdx 1 −sinx = ∫ udu (1 + u)(1 − u)2 Perform the decomposition into … crosstown north bay