Class 12 Integrals · Mcq Single Correct1 Marksintegration
Class 12 Maths · Integrals · Mcq Single Correct #5
If \(\int\frac{3e^x-5e^{-x}}{4e^x+5e^{-x}}dx=ax+b\ln|4e^x+5e^{-x}|+C\), find a,b.
✅ Step-by-Step Solution
Final Answer: Option (A): a=−1/8,b=7/8
- Let D=4e^x+5e^(−x). Then 3e^x−5e^(−x)=−D/8+7D′/8, giving a=−1/8,b=7/8.
Master Chapter 7: Integrals
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Integrals.
← Previous Question
Evaluate \(\int dx/(\sin^2x\cos^2x)\) on an interval avoiding its…
Next Question →Evaluate \(\int_{-1}^{1}|x-2|/(x-2)\,dx\).
More Practice Questions in Integrals
Related Questions in Integrals
Class 12 Integrals · Mcq Single Correct
Evaluate \(\int x^2e^{x^3}\,dx\).
Class 12 Integrals · Mcq Single Correct
Evaluate \(\int e^x(1+x)\sec^2(xe^x)\,dx\) on an interval where defined.
Class 12 Integrals · Mcq Single Correct
Evaluate \(\int e^x(\cos x-\sin x)\,dx\).
Class 12 Integrals · Mcq Single Correct
Evaluate \(\int dx/(\sin^2x\cos^2x)\) on an interval avoiding its poles.
Class 12 Integrals · Mcq Single Correct
Evaluate \(\int_{-1}^{1}|x-2|/(x-2)\,dx\).
CBSE Class 12 Mathematics 2026 Main Paper 65/1/1 · Q8
If ∫ (3ax)/(b² + c²x²) dx = A log| b² + c²x² | + K, then the value of A is