Mastering Tricky Integrals : Exercise 7.2 Q34 & Q37 | 12th Grade Math | Indefinite Integration

34) ∫ sqrt(tan x) / (sin x * cos x) dx
37) ∫ x³ * sin(tan⁻¹(x⁴)) / (1 + x⁸) dx

In this video, we solve two challenging integration problems from Exercise 7.2 of the Standard 12 Mathematics textbook. We tackle problem 34, which involves simplifying ∫ sqrt(tan x) / (sin x * cos x) dx and problem 37, where we integrate a more complex trigonometric expression involving inverse tangent.

Dive into the world of advanced integration techniques with this step-by-step guide to solving two challenging problems from Exercise 7.2 of the 12th Grade Mathematics textbook. We'll tackle Question 34, involving the square root of tangent, and Question 37, which combines trigonometric and inverse trigonometric functions. Perfect for students preparing for exams or anyone looking to sharpen their calculus skills!

These problems are important for students preparing for board exams and competitive exams. Follow along as we break down each step for better understanding!

Topics Covered:

Trigonometric integrals
Substitution methods
Inverse trigonometric functions
Watch this video to improve your integration skills and master key concepts for your exams!