Class 12 Integrals · Conceptual Answer1 Marksfundamental_theorem
Class 12 Maths · Integrals · Conceptual Answer #135
If \(f(x)=\int_0^x t\sin t\,dt\), find f′(x).
✅ Step-by-Step Solution
Final Answer: x sin x
- The integrand t sin t is continuous on R. The fundamental theorem of calculus gives f′(x)=x sin x.
- x sin x
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] The integrand t sin t is continuous on R. The fundamental theorem of calculus gives f′(x)=x sin x.
- [0.5 marks] x sin x
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