Class 12 Integrals · Mcq Single Correct1 Marksintegration
Class 12 Maths · Integrals · Mcq Single Correct #25
Find an antiderivative of (tan x−1)/(tan x+1) on an interval where defined.
✅ Step-by-Step Solution
Final Answer: Option (C): \(\ln|\sec(\pi/4-x)|+C\)
- The ratio equals −tan(π/4−x). Differentiating ln|sec(π/4−x)| yields exactly this integrand.
Master Chapter 7: Integrals
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Integrals.
← Previous Question
If f′(x)=ax+b and f(0)=0, find f(x).
Next Question →Evaluate \(\int\sec x/(\sec x-\tan x)\,dx\) where defined.
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 \(\int_{-1}^{1}|x-2|/(x-2)\,dx\).