Integral Calculus Question 306
Question: $ \int{\frac{ax^{3}+bx^{2}+c}{x^{4}}dx} $ equals to
[RPET 2001]
Options:
A) $ a\log x+\frac{b}{x^{2}}+\frac{c}{3x^{3}}+c $
B) $ a\log x+\frac{b}{x}-\frac{c}{3x^{3}}+c $
C) $ a\log x-\frac{b}{x}-\frac{c}{3x^{3}}+c $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
$ I=\int{\frac{ax^{3}+bx^{2}+c}{x^{4}}dx=\int{[ \frac{a}{x}+\frac{b}{x^{2}}+\frac{c}{x^{4}} ],dx}} $ $ =a\log x-\frac{b}{x}-\frac{c}{3x^{3}}+c $ .
BETA
