If $f(x) = \int_{0}^{x} t \sin t \,dt,$ then $f^{\prime}(x)$ is
- A$\cos x + x \sin x$
- B$x \sin x$
- C$x \cos x$
- D$\sin x + x \cos x$
Explore More
Similar Questions
The value of $\lim _{x \rightarrow 0} \frac{\int_{0}^{x^{2}} \cos \left(t^{2}\right) d t}{x \sin x}$ is
The points of extremum of $\int_0^{x^2} \frac{t^2-5t+4}{2+e^t} dt$ are
MediumWBJEE 2024
View SolutionIf $f(x) = \int_{9x^2}^{x^4} 5^{\sqrt{t}} dt$,then $\lim_{h \to 0} \frac{f(3 + h) - f(3 - h)}{h}$ is equal to
Let $S(x) = \int_{x^2}^{x^3} \ln t \, dt$ for $x > 0$ and $H(x) = \frac{S'(x)}{x}$. Then $H(x)$ is :
$\int_0^1 x^{3/2} \sqrt{1-x} \, dx$ is equal to
DifficultAP EAMCET 2008
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