Claexa AI Web Application

Claexa AI is a platform of AI tools designed for students and educators, offering question paper generation, AI-powered problem solving, and educational content creation.

Features

• AI-powered question paper generation
• Question solving assistance
• Educational content creation
• Cross-platform accessibility

Progressive Web App (PWA) Support

This application includes Progressive Web App functionality for improved performance, offline support, and a better mobile experience. The PWA features are implemented in a non-intrusive way:

• Offline Support: Core functions work even without an internet connection
• Performance: Assets are cached for faster loading times
• No Intrusive Prompts: No automatic install prompts or update notifications
• Silent Updates: Updates are applied silently in the background
• Android Integration: Supports Trusted Web Activity (TWA) for native-like experience in Android

For detailed information about the PWA and TWA implementation, see PWA_GUIDE.md.

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Question 1 (numeric - 5 Marks)

Evaluate the definite integral

$\int_0^{\pi/4} \frac{\cos(2x)}{1+\sin(2x)} dx$.

Question 2 (numeric - 5 Marks)

Evaluate the definite integral $ \int_1^e x \ln(x) dx $. $$ afdasdasdada $$

Question 3 (numeric - 5 Marks)

Find the value of the second derivative of

$$ f(x) = (x^3 - 2x)^4$ at $x=1 $$.

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    pythiao()

Question 4 (numeric - 5 Marks)

Evaluate the definite integral $\int_0^1 x^2 e^{2x} dx$.

Question 5 (numeric - 5 Marks)

Evaluate the definite integral $\int_0^{\pi/2} e^x \cos(x) dx$.

Question 6 (numeric - 5 Marks)

Evaluate the definite integral $$\int_{D} h(x,y) , dA$$

Question 7 (numeric - 5 Marks)

Find the value of the derivative of $y = \ln(\sec(x) + \tan(x))$ at $x=\pi/4$.

Question 8 (numeric - 5 Marks)

Evaluate the definite integral $\int_0^2 \frac{x+1}{x^2+2x+5} dx$.

Question 9 (numeric - 5 Marks)

Evaluate the definite integral $\int_0^1 \arctan(x) dx$.

Question 10 (numeric - 5 Marks)

Find the value of the derivative of $f(x) = \frac{\sin(x^2+1)}{e^{3x}}$ at $x=0$.