Value of $\int_{-2}^{2}|2x+1|dx$ is:

Integral $I = \displaystyle\int \dfrac{e^{3\log x} - 3x^4}{e^{2\log x} + x^2}\, dx$ (where $x>0$) is equal to

If $\int_0^1 (4x^3 + 3x^2 + 2x + k)dx = 0$, then the value of 'k' is

$\int \frac{1}{x(x^6+1)}\,dx =$ (consider $\log_e x = \log x$)

The value of $\int_{-2}^{3} |x-1|\, dx$ is

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

$\int_0^8 (x^{\frac{2}{3}} + 1) dx$ is equal to