CUET Mathematics 2025 29 May Shift 2 PYQs

The value of which of the following integrals is zero?

(A) $\int_0^1 x dx$

(B) $\int_{-1}^1 x dx$

(C) $\int_{-1}^1 x^2 dx$

(D) $\int_0^1 \log\left(\frac{x}{1-x}\right) dx$

Choose the correct answer from the options given below:

$\int \frac{dx}{\sqrt{5 - 4x - x^2}}$ is equal to

$\int e^{(x \log 5)}e^x dx$, is:

Where $C$ is the constant of integration.