Class 12 Integrals · Conceptual Answer1 Marksinconsistent_source_identity
Class 12 Maths · Integrals · Conceptual Answer #129
Determine whether real a,b can satisfy \(\int(e^{ax}+bx)dx=4e^{4x}+3x^2/2+C\) identically on R.
✅ Step-by-Step Solution
Final Answer: No such a,b exist.
- Differentiate both sides to obtain e^(ax)+bx=16e^(4x)+3x. At x=0 this would require 1=16, a contradiction.
- No such a,b exist.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Differentiate both sides to obtain e^(ax)+bx=16e^(4x)+3x. At x=0 this would require 1=16, a contradiction.
- [0.5 marks] No such a,b exist.
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