∫((1−5cos²x)/(sin⁵x cos²x)) dx = f(x)+C, Find f(π/6)−f(π/4)|| JEE Main 2026 || definite integration
Автор: Maths by Pankaj Sir | JEE Main & Advanced
Загружено: 2026-03-08
Просмотров: 20
Описание:
If
∫((1 − 5cos²x) / (sin⁵x cos²x)) dx = f(x) + C,
where C is the constant of integration, then find the value of
f(π/6) − f(π/4).
Options:
(1) (1/√3)(26 + √3)
(2) (1/√3)(26 − √3)
(3) (4/√3)(8 − √6)
(4) (2/√3)(4 + √6)
In this video, we solve this JEE Main 2026 Calculus PYQ step by step using concepts of integration and trigonometric identities.
This type of question is very important for JEE Main, JEE Advanced, and other engineering entrance exams.
Topics covered in this video:
• Integration tricks
• Trigonometric identities
• JEE Main PYQ solving strategy
• Calculus for IIT JEE
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