Integral of (sin x cos x) / (sin⁴x + cos⁴x) from 0 to π/4 |
Автор: Vashishtha Academy
Загружено: 2026-01-21
Просмотров: 30
Описание:
Hook/Introduction]
In this video, we solve a classic definite integral involving trigonometric functions. This specific problem is a favorite in advanced high school math and engineering entrance exams because it tests your ability to simplify complex denominators using clever substitutions.
[What You’ll Learn]
How to handle symmetric powers of sine and cosine in the denominator.
The "Divide by \cos^4 x" technique to transform the integrand.
Using u = \tan^2 x to simplify the expression into a standard form.
Evaluating the definite limits from 0 to \pi/4.
#Calculus #Maths #Integration #DefiniteIntegral #JEE #Class12Maths #STEM #CalculusTutorial
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