Class 12 Integrals · Mcq Single Correct1 Marksintegration
Class 12 Maths · Integrals · Mcq Single Correct #9
Evaluate \(\int e^x[(1-x)/(1+x^2)]^2\,dx\).
✅ Step-by-Step Solution
Final Answer: Option (A): e^x/(1+x²)+C
- Differentiate e^x/(1+x²): e^x[(1+x²)−2x]/(1+x²)²=e^x(1−x)²/(1+x²)².
Master Chapter 7: Integrals
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Integrals.
← Previous Question
Evaluate \(\int\arctan\sqrt{x}\,dx\) for x>0.
Next Question →Evaluate \(\int2^{x+2}\,dx\).
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
If \(\int\frac{3e^x-5e^{-x}}{4e^x+5e^{-x}}dx=ax+b\ln|4e^x+5e^{-x}|+C\), find a,b.
Class 12 Integrals · Mcq Single Correct
Evaluate \(\int_{-1}^{1}|x-2|/(x-2)\,dx\).