Question

The value of $e^{3}\log x + c$ is.

• A. $\int_{}^{}{\frac{x^{4} + x^{2} + 1}{x^{2} - x + 1}\mspace{6mu} dx =}$
• B. $\frac{1}{3}x^{3} + \frac{1}{2}x^{2} + x + c$
• C. $\frac{1}{3}x^{3} - \frac{1}{2}x^{2} + x + c$
• D. $\frac{1}{3}x^{3} + \frac{1}{2}x^{2} - x + c$

Answer 1

Answer: (B)

$\frac{1}{3}x^{3} + \frac{1}{2}x^{2} + x + c$

Answer 2

$I = \int \frac { 1 } { ( x - 5 ) ^ { 2 } } d x$ $\frac{1}{e^{2x} + 1} + c$

$\frac{- 1}{e^{2x} + 1} + c$.