KCET · Maths · Continuity and Differentiability
The value of the integral \(\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} \log (\sec \theta-\tan \theta) \mathrm{d} \theta\) is
- A \( \frac{\pi}{4} \)
- B \( \frac{1}{2} \)
- C \( 00 \)
- D \(\pi\)
Answer & Solution
Correct Answer
(C) \( 00 \)
Step-by-step Solution
Detailed explanation
Let \(f(\theta) = \log (\sec \theta-\tan \theta)\). \(f(-\theta) = \log (\sec (-\theta)-\tan (-\theta)) = \log (\sec \theta+\tan \theta)\).
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If
\(x-1 \quad\) is
\(x^{5}-4 x^{3}+2 x^{2}-3 x+k=0\), then \(k\) is
\(a\)KCET 2012 Medium - If one of the slopes of the pair of lines \(\mathrm{ax}^{2}+2 \mathrm{hxy}+\mathrm{by}^{2}=0\) is \(\mathrm{n}\) times the other, thenKCET 2012 Hard
- The cost and revenue functions of a product are given by \(c(x)=20 x+4000\) and \(R(x)=60 x+2000\) respectively, where \(x\) is the number of items produced and sold. The value of \(x\) to earn profit isKCET 2021 Easy
- If a matrix \( \mathrm{A} \) is both symmetric and skewsymmetric, thenKCET 2017 Easy
- If \(A=\left|\begin{array}{ccc}a_{1} & b_{1} & c_{1} \\ a_{2} & b_{2} & c_{2} \\ a_{3} & b_{3} & c_{3}\end{array}\right|\) and \(B=\left|\begin{array}{ccc}c_{1} & c_{2} & c_{3} \\ a_{1} & a_{2} & a_{3} \\ b_{1} & b_{2} & b_{3}\end{array}\right|\), thenKCET 2008 Medium
- Suppose \( \vec{a}+\vec{b}+\vec{c}=0,|\vec{a}|=3,|\vec{b}|=5,|\vec{c}|=7 \), then the angle between \( \vec{a} \& \vec{b} \) isKCET 2016 Hard
More PYQs from KCET
- Match the pigments given in List I with their colour in chromatogram given in List II.
Choose the correct option from the following:List I
(Pigments)List II
(Colour in chromatogram)1. Chlorophyll 'b' p. Yellow orange 2 Carotenoids q. Orange red 3. Chlorophyll 'a' r. Yellow 4. Xanthophylls s.Blue green t. Yellow green KCET 2024 Medium - A simple pendulum is suspended from the ceiling of a lift. When the lift is at rest its time period is With what acceleration should the lift be accelerated upwards in order to reduce its period to \(\mathrm{T} / 2\) ? ( is acceleration due to gravity).KCET 2008 Hard
- If 30J energy is trapped at product level, then how much energy will be available to peacock as food in the following chain?
Plant → Mice → Snake → PeacockKCET 2015 Easy - In case of Fraunhoffer diffraction at a single slit, the diffraction pattern on the screen is correct for which of the following statements?KCET 2022 Easy
- Now-a-days agricultural practice is expensive to the farmers as they need to purchase hybrid seeds every year. Which of the following strategies can be employed to overcome this problem?KCET 2019 Medium
- Natural killer lymphocytes are an example forKCET 2015 Medium