$\int \frac{30x^{14} + 15^x \log 225}{x^{15} + 15^x} dx =$
- A$x^{15} + 15x^{14} + 30x^{13} + c$, where $c$ is the constant of integration
- B$\frac{\log(x^{15} + 15^x)^2}{2} + c$, where $c$ is the constant of integration
- C$\log(x^{15} + 15^x)^2 + c$, where $c$ is the constant of integration
- D$\log(x^{15} + 15^x) + c$, where $c$ is the constant of integration
Explore More
Similar Questions
If $\int \frac{\cos x-\sin x}{\sqrt{8-\sin 2 x}} \,d x=\operatorname{a} \sin^{-1}\left(\frac{\sin x+\cos x}{b}\right)+c$,where $c$ is a constant of integration,then the ordered pair $(a, b)$ is equal to
Find the following integral: $\int \frac{\sin x}{\sin (x+a)} d x$
Medium
View SolutionThe integral $\int \sec^{\frac{2}{3}} x \cdot \operatorname{cosec}^{\frac{4}{3}} x \, dx$ is equal to
$\int 7^{7^{7^{x}}} 7^{7^{x}} 7^{x} \,d x=$
DifficultMHT CET 2020
View SolutionIf $\int \frac{\sin ^3 x}{\left(\cos ^4 x+3 \cos ^2 x+1\right) \tan ^{-1}(\sec x+\cos x)} d x=f(x)+C$,then $e^{f(x)}=$
DifficultAP EAMCET 2022
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