Integration dx/1+sinx
NettetLösen 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. 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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NettetLösen 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. NettetSum dx ∫ sin x 1 + sin x dx Advertisement Remove all ads Solution ∫ sin x 1 + sin x d x Rationalising the denominator Rationalising the denominator dx ⇒ ∫ sin x 1 + sin x × 1 …
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∣∣∣∣ NettetSolving integral (2+3sinx)/ {sinx (1+cosx)} dx JEE Main 31st January 2024, Shift-2 Get ahead of the curve with our expert solutions for the JEE Main Maths exams .
Nettet18. sep. 2016 · (Method 1) Integral of 1/sin (x) (substitution + trig identities + substitution) Integrals ForYou 107K subscribers Subscribe 155K views 6 years ago Integration by substitution 🏼... Nettet26. feb. 2024 · The fraction integrand can be separated into ∫((1 1) +( 1 sin(x)) + ( 1 cos(x)))dx. If an integrand can be separated, then all its parts can be solved separately. This can be split into ∫1dx + ∫( 1 sin(x))dx + ∫( 1 cos(x))dx Which is equivalent to ∫dx + ∫csc(x)dx + ∫sec(x)dx ∫dx = x, ∫csc(x)dx = ln csc(x) −cot(x) +C,
Nettet0:00 3:05 Integration by substitution Integral of 1/ (1+cos (x)+sin (x)) (Weierstrass substitution) Integrals ForYou 105K subscribers Subscribe 70K views 6 years ago Integral of 1/...
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