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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.... View Article

How Will You Bring About The Following Conversions– Ethanol To But-1-Yne

CH3-CH2-OH+SOCl2 CH3-CH2-Cl+SO2↑+HCl↑ Explore more such questions and answers at BYJU’S.... 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 tabsand the width of margins for a... 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 as high compute... 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 address the need... 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 views to boost... 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 of Devagiri,... View Article

The value of ∫₀² |x² – 1| dx is

1) 0 2) 2 3) - (1/3) 4) -2 Solution: (2) 2... View Article

∫_-2² |[x]| dx =

1) 1 2) 2 3) 3 4) 4 5) 5 Solution: (4) 4... View Article

The value of ∫₀^12a [f (x) / [f (x) + f (12a – x)]] dx is

1) a 2) 2a 3) 3a 4) 6a Solution: (4) 6a... View Article

The value of ∫₀^π/2 dx / (1 + cot x) is

1) π 2) π/2 3) π/3 4) π/4 Solution: (4) π/4... View Article

∫_-π/2^π/2 sin |x| dx =

1) 0 2) 1 3) 2 4) π Solution: (3) 2... 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... View Article

If I₁ = ∫₀^π/4 sin² x dx and I₂ = ∫₀^π/4 cos² x dx, then

1) I1 = I2 2) I1 < I2 3) I1 > I2 4) I2 = I1 + π / 4 Solution: (2) I1 < I2... View Article

∫₀^π/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) - π/2 log 2... View Article

∫_-1² |x|³ dx =

1) 5/4 2) 17/4 3) 15/4 4) 4/5 Solution: (2) 17/4... View Article

∫₀^π [cot x] dx, [.] denotes the greatest integer function, =

1) π/2 2) 1 3) -1 4) - (π/2) Solution: (4) - (π/2)... View Article

The value of I = ∫_-π/2^π/2 |sin x| dx is

1) 0 2) 2 3) -2 4) -2 < I < 2 Solution: (2) 2... View Article

If I = ∫₀¹ dx / (1 + x^π/2), then

1) loge 2 < I < π / 4 2) loge 2 > I 3) I = π / 4 4) I = loge 2 Solution: (1) loge 2 < I < π / 4... View Article

If I₁ = ∫₀^3π f (cos² x) dx and I₂ = ∫₀^π f (cos² x) dx, then

1) I1 = I2 2) 3I1 = I2 3) I1 = 3I2 4) I1 = 5I2 Solution: (3) I1 = 3I2... View Article

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