$\int {\frac{{{e^{5\log x}} - {e^{4\log x}}}}{{{e^{3\log x}} - {e^{2\log x}}}}\;dx} = $
- A$\frac{{{e^{3x}}}}{3} + c$
- B${e^3}\log x + c$
- C$\frac{{{x^3}}}{3} + c$
- DNone of these
Explore More
Similar Questions
$\int \left(1 + \frac{x}{1!} + \frac{x^2}{2!} + \dots \infty \right) dx = $
$\int {\frac{{dx}}{{\sin x - \cos x + \sqrt 2 }}} $ equals
Difficult
View SolutionIf $\frac{d}{d x} f(x)=4 x^{3}-\frac{3}{x^{4}}$ such that $f(2)=0,$ then $f(x)$ is
Medium
View Solution$\int \frac{1 + x^2}{\sqrt{1 - x^2}} dx = $
DifficultIIT 1977
View Solution$\int \operatorname{cosec}(x-a) \operatorname{cosec} x \, dx$ is equal to
DifficultKCET 2009
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo