CUET Mathematics 2023 22 May Shift 3 PYQs

$\int \frac{dx}{x^{n+1} - x}\,dx$

A company is selling a certain commodity $x$. The demand function for the commodity is linear. The company can sell $2000$ units when the price is ₹$8$ per unit and it can sell $3000$ units when the price is ₹$4$ per unit. The Marginal revenue at $x=5$ is:

If $y = 3e^{2x} + 2e^{3x}$, then which one of the following is true ?