$\int \frac{\log x - 3}{(\log x)^4} dx$ is equal to

(where C is an arbitrary constant and $\log_e x = \log x$)

$\int (x^4 + x^2 + 1)d(x^2)$ is equal to: (where c is an integration constant)

The value of $\int_{-\pi/3}^{\pi/3}\frac{1}{1+e^{\tan x}}dx$ is:

$\int e^{x\log_e a}.e^x dx$ is:

[where C is an arbitrary constant]

$\int_2^5 |x - 3|dx$ equals

The value of $\int_{-a}^a f(x)dx$ where $f(x) = \frac{7^x}{1+7^x}$ is:

$\int \frac{e^{7\log_e x} - e^{6\log_e x}}{e^{4\log_e x} - e^{3\log_e x}} dx$ is equal to:

(Here, c is an arbitrary constant)