A) \[ln\left| x \right|-p(x)+c\]
B) \[ln\left| x \right|+p(x)+c\]
C) \[x-p(x)+c\]
D) \[x+p(x)+c\]
Correct Answer: A
Solution :
Let \[l=\int_{{}}^{{}}{\frac{{{x}^{6}}}{x+{{x}^{7}}}dx=\int_{{}}^{{}}{\frac{{{x}^{6}}}{x(1+{{x}^{6}})}dx}}\] \[=\int_{{}}^{{}}{\frac{(1+{{x}^{6}})-1}{x(1+{{x}^{6}})}}\] \[\Rightarrow \] \[l=\int_{{}}^{{}}{\frac{dx}{x}-\int_{{}}^{{}}{\frac{dx}{x+{{x}^{7}}}=\log \,|x|-P(x)+C}}\]You need to login to perform this action.
You will be redirected in
3 sec