The value of $\int_2^4 \frac{x}{x^2 + 1} dx$ is equal to

The value of $\int_1^3 \frac{x^2}{x^3+1}dx$

Match List-I with List-II

Choose the correct answer from the options given below:

If $I_n = \int_{0}^{\pi/4} \tan^n x dx$ then $I_{2024} + I_{2026}$ is equal to:

Value of $\int_{1}^{4} \frac{\log_e x}{x^2}\, dx$ is

$\int_{1/3}^{1} \frac{(x-x^3)^{1/3}}{x^4} dx$ equals

$\int \frac{dx}{\sin^2 x \cos^2 x} =$