Integral Calculus Question 292
Question: $ \int_{{}}^{{}}{\frac{a{x^{-2}}+b{x^{-1}}+c}{{x^{-3}}}}\ dx= $
Options:
A) $ 2ax^{2}+3bx^{3}+4cx^{4}+k $
B) $ 6ax^{2}+4bx^{3}+3cx^{4}+k $
C) $ a+b+cx^{2}+k $
D) $ \frac{1}{2}ax^{2}+\frac{1}{3}bx^{3}+\frac{1}{4}cx^{4}+k $
Show Answer
Answer:
Correct Answer: D
Solution:
$ \int_{{}}^{{}}{\frac{a{x^{-2}}+b{x^{-1}}+c}{{x^{-3}}},dx}=\int_{{}}^{{}}{(ax+bx^{2}+cx^{3}),dx} $ $ =\frac{1}{4}cx^{4}+\frac{1}{3}bx^{3}+\frac{1}{2}ax^{2}+k. $
BETA
