Class 9,10 maths

📘 Integral Calculus – Substitution Method
Evaluate:
∫ (2^(1/x) / x²) dx
🔥 This is a classic substitution problem.
Notice something important:
If we let
u = 1/x
Then,
du/dx = −1/x²
And that −1/x² is already sitting in the integral 👀
So the expression simplifies beautifully to:
I = − ∫ 2ᵘ du
Using the rule:
∫ aˣ dx = aˣ / ln(a)
We get:
I = − 2ᵘ / ln(2) + C
Substitute back u = 1/x
✨ Final Answer:
I = − 2^(1/x) / ln(2) + C
💡 Key Idea:
Whenever you see something like f(1/x) with 1/x², think substitution immediately.
The derivative is hiding inside the integral.
Clean thinking = faster solving.

HSLC Final Exam-2026
Sub: Advanced Mathematics
Date: 26-02-2026

Class 9 Chirang Annual exam Mathematics 2023 Question paper.

Old question paper
Class IX, Annual Examination: 2022-23, General Mathematics Question
District

Find x

Limit #limits #maths #viralreelsfb #IIT