JEE ADVANCED 2026 PAPER 2 Question Stem for Question Nos. 15 and 16Consider the curgiven byy=e^(−x)

Question Stem for Question Nos. 15 and 16 Consider the curve C_1 given byy=e^(−x) " "x∈[0,10π],and the curve C_2 given by y=e^(−x) (sin⁡x+cos⁡x) " "x∈[0,10π].Let n be the total number of points of intersection of the curves C_1 and C_2. Suppose that α_1,α_2,…,α_n∈[0,10π] are the x-coordinates of the points of intersection of the curves C_1 and C_2 such thatα_1α_2⋯α_n.The value of n is ____ . Q. 16Let β be the area of the region enclosed between the curves C_1,C_2, and the lines x=α_1 and x=α_4. Then the value of −1/π log_e⁡(β−2e^(−π/2) )is ____ . Description:🚀 Master JEE Advanced 2026 with conceptual clarity! In this video, we dive deep into a challenging calculus problem from Paper 2 (Question 15 & 16) involving the intersection of exponential and trigonometric curves, $y = e^{-x}$ and $y = e^{-x}(\sin x + \cos x)$.Calculating points of intersection and integrating functions with alternating signs can be easy to mess up under exam pressure. We break it down step-by-step so you can avoid common pitfalls and secure a perfect score!What we cover in this video:Finding the exact number of intersection points ($n$) within the interval $[0, 10\pi]$.Splitting the definite integral properly to calculate the enclosed area ($\beta$) without sign errors.Simplifying the final logarithmic expression step-by-step to get the precise numerical answer.Huge appreciation to all the hardworking students out there tackling these advanced problems—your dedication is going to pay off big time! Keep smiling, keep practicing, and let's conquer the IIT JEE together! 👍🌟If this breakdown helped clarify the concepts for you, make sure to Like, Share, and Subscribe for more educational guides and step-by-step solutions!🏷️ Hashtags (Comma-Separated)#JEEAdvanced2026, #JEEAdvanced, #IITJEE, #Calculus, #DefiniteIntegration, #AreaUnderCurve, #Trigonometry, #JEEMaths, #IITJEEPreparation, #JEEMain, #MathsSolution, #Class12Maths, #JEEMathsTricks, #Education, #JEEAdvancedPaper2 Get a quick and complete synopsis of Functions for JEE and EAPCET! This short video covers key concepts, formulas, and tricks to boost your exam preparation. Perfect for last-minute revision! Hashtags (with spaces): #JEE #EAPCET #Functions #MathRevision #JEEMaths #EAPCETMaths #MathShorts #CompetitiveExams #JEEPreparation #QuickRevision Hashtags (comma-separated): #JEE, #EAPCET, #Functions, #MathRevision, #JEEMaths, #EAPCETMaths, #MathShorts, #CompetitiveExams, #JEEPreparation, #QuickRevision contact : +91 7032507699(whatsapp) visit my website: www.e-math.in youtubechannel:    / onlinemathstutionguntur   facebook page:   / emath2016   twitter :  / e-math2016   whatsapp :+91 7032507699 e-mail : [email protected]