# Archives

## Economy This Week (16th Jun to 30th Jun 2021)

Economy is an important part of theÂ UPSC prelimsÂ and mains exams; this series titled â€˜Economy This Weekâ€™ 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 â€˜The Hinduâ€™ 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 âˆ«02 |x2 – 1| dx is

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

## âˆ«-22 |[x]| dx =

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

## The value of âˆ«012a [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 âˆ«0Ï€/2 dx / (1 + cot x) is

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

## âˆ«-Ï€/2Ï€/2 sin |x| dx =

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

## âˆ«-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 = âˆ«0Ï€/4 sin2 x dx and I2 = âˆ«0Ï€/4 cos2 x dx, then

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