Class 12 Integrals · Assertion Reason1 Marksintegration_properties
Class 12 Maths · Integrals · Assertion Reason #29
Assertion: For x>0, \(\int dx/(2\sqrt{x})=\sqrt{x}+C\).
Reason: \(\int\cos x\,dx=\sin x+C\).
✅ Step-by-Step Solution
Final Answer: Option (B): Both A and R are true, but R does not correctly explain A.
- Differentiating √x proves A; R is also true but is a separate trigonometric formula.
Master Chapter 7: Integrals
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Integrals.
← Previous Question
Assertion: \(\int dx/(1+x^2)=\arctan x+C\). Reason: Since…
Next Question →Assertion: If f′(x)=x+1/(1+x²) and f(0)=0, then f(x)=x²/2+arctan x…
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 \(\int_{-1}^{1}|x-2|/(x-2)\,dx\).