What Is The Feminine Gender Of Pupil
The noun ‘pupil’ is a common gender, which refers to a student Explore more such questions and answers at BYJU’S.
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How Will You Bring About The Following Conversions– Ethanol To But-1-Yne
CH3-CH2-OH+SOCl2\(\begin{array}{l} \overset{Pyridine}{\rightarrow}\end{array} \) CH3-CH2-Cl+SO2↑+HCl↑ \(\begin{array}{l} HC \equiv CH + NaNH_{2}\overset{liq.NH3}{\rightarrow}HC\equiv C^{-}Na^{+}\end{array} \) \(\begin{array}{l} CH3-CH2-Cl+HC\equiv C^{-}Na^{+} \rightarrow CH3-CH2-C\equiv CH +NaCl\end{array} \)... View Article
What Is Ruler Bar Used For
In Microsoft Word or Ms world document, the ruler bar is used as a measuring tool for adjusting indents, the... View Article
Which Instance Family Provides Us With Computer Optimized Instances? (A) M (B) T (C) C (D) R
The answer is (C) C Compute Optimized instances are the instance designed for the applications that inturn gives the benefit... View Article
Economy This Week (16th Jun to 30th Jun 2021)
Economy is an important part of the UPSC prelims and mains exams; this series titled ‘Economy This Week’ has been initiated to... View Article
05 July 2021: The Hindu Analysis
UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 5th Jul 2021. Important news and... View Article
Provincial Kingdoms of Medieval India (Part 1)
At its zenith, the Delhi Sultanate included states like Bihar, Bengal, Malwa, Gujarat, the Deccan states of Warangal, the Yadavas... View Article
The value of ∫02 |x2 – 1| dx is
1) 0 2) 2 3) – (1/3) 4) -2 Solution: (2) 2 \(\begin{array}{l}I =\int_{0}^{2}\left|x^{2}-1\right| d x=\int_{0}^{1}\left|x^{2}-1\right| d x+\int_{1}^{2}\left|x^{2}-1\right| d x... View Article
∫-22 |[x]| dx =
1) 1 2) 2 3) 3 4) 4 5) 5 Solution: (4) 4 \(\begin{array}{l}I=\int_{-2}^{2}|[x]| d x=\int_{-2}^{-1}|[x]| d x+\int_{-1}^{0}|[x]| d x+\\... View Article
The value of ∫012a [f (x) / [f (x) + f (12a – x)]] dx is
1) a 2) 2a 3) 3a 4) 6a Solution: (4) 6a \(\begin{array}{l}\begin{array}{l} I=\int_{0}^{12 a} \frac{f(x)}{f(x)+f(12 a-x)} d x \\ I=\int_{0}^{12... View Article
The value of ∫0π/2 dx / (1 + cot x) is
1) π 2) π/2 3) π/3 4) π/4 Solution: (4) π/4 \(\begin{array}{l}\begin{array}{l} I=\int_{0}^{\frac{\pi}{2}} \frac{\cos x}{\cos x+\sin x} d x \quad... View Article
∫-π/2π/2 sin |x| dx =
1) 0 2) 1 3) 2 4) π Solution: (3) 2 \(\begin{array}{l}I =\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \sin |x| d x \\ =-\int_{-\frac{\pi}{2}}^{0} \sin... View Article
∫-32 {|x + 1| + |x + 2| + |x – 1|} dx =
1) 31/2 2) 35/2 3) 47/2 4) 39/2 Solution: (3) 47/2 \(\begin{array}{l}\begin{array}{l} I= \int_{-3}^{2}(|x+1|+|x+2|+|x-1|) d x \\ = \int_{-3}^{+2}|x+1| d... View Article
If I1 = ∫0π/4 sin2 x dx and I2 = ∫0π/4 cos2 x dx, then
1) I1 = I2 2) I1 < I2 3) I1 > I2 4) I2 = I1 + π / 4... View Article
∫0π/2 log sin x dx =
1) – π log 2 2) π log 2 3) – π/2 log 2 4) π/2 log 2 Solution: (3)... View Article
∫-12 |x|3 dx =
1) 5/4 2) 17/4 3) 15/4 4) 4/5 Solution: (2) 17/4 \(\begin{array}{l}\int_{-1}^{2}|x|^{3} =\int_{-1}^{0}|x|^{3}+\int_{0}^{2}|x|^{3} \\ =-\int_{-1}^{0} x^{3}+\int_{0}^{2} x^{3} \\ =-\left[\frac{x^{4}}{4}\right]_{-1}^{0}+\left[\frac{x^{4}}{4}\right]_{0}^{2} \\... View Article
∫0π [cot x] dx, [.] denotes the greatest integer function, =
1) π/2 2) 1 3) -1 4) – (π/2) Solution: (4) – (π/2) \(\begin{array}{l}\begin{array}{l} I=\int_{0}^{\pi}[\cot x] d x \\ I=\int_{0}^{\pi}[\cot... View Article
The value of I = ∫-π/2π/2 |sin x| dx is
1) 0 2) 2 3) -2 4) -2 < I < 2 Solution: (2) 2 \(\begin{array}{l}\begin{array}{l} I=\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}|\sin x| d x\\... View Article
If I = ∫01 dx / (1 + xπ/2), then
1) loge 2 < I < π / 4 2) loge 2 > I 3) I = π / 4... View Article
If I1 = ∫03π f (cos2 x) dx and I2 = ∫0π f (cos2 x) dx, then
1) I1 = I2 2) 3I1 = I2 3) I1 = 3I2 4) I1 = 5I2 Solution: (3) I1 =... View Article
