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Global Report on Food Crises (GRFC 2021)

The fifth edition of the Global Report on Food Crises (GRFC 2021) was released on May 5, 2021. A high-level virtual event was held by the Global... View Article

Cairn Tax Dispute

In December 2020, the Permanent Court of Arbitration (PCA) ruled against India in retrospective tax dispute between the Indian Government and... View Article

State of World Population Report (SoWP) [Latest Report 2023]

The State of World Population is an annual report published by the United Nations Population Fund (UNFPA). Each edition covers and analyses... View Article

Atlantic Meridional Overturning Circulation (AMOC)

The Atlantic Meridional Overturning Circulation (AMOC) is a large system of ocean currents that carry warm water from the tropics northwards into... View Article

25 May 2021: The Hindu Analysis

UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 25th May 2021. Important news and views to boost... View Article

Niccolò Dei Conti [AD 1395 – AD 1469]

Nicolò Dei Conti commonly called Niccolò Conti was an Italian traveller and a merchant who visited India in 1420 AD at the Vijayanagara empire... View Article

Rights and Liabilities of the Government

Articles 294 to 300 in Part XII of the Constitution of India deals with the property contracts, rights, liabilities, obligations, and suits of... View Article

State Human Rights Commission

The State Human Rights Commission is charged with the protection of Human Rights or investigating any violations that occur within their... View Article

Parliamentary Forums

Parliamentary Forums are established in order to provide a platform for interaction and discussion of critical issues with the ministers... View Article

Second Battle of Panipat

The Second Battle of Panipat took place on 5 November 1556, between the emperor of north India, Hemu, and the forces of the Mughal emperor Akbar.... View Article

∫{(e^x) [(x – 1) / x²]} dx =

1) (ex / x2) + c 2) (- ex / x2) + c 3) (ex / x) + c 4) (- ex / x) + c Solution: (3) (ex / x) + c ∫{(ex) [(x - 1) / x2]} dx = ∫{[xex - ex] /... View Article

[latex]\int e^{e^{e^{x}}} \cdot e^{e^{x}} \cdot e^{x} d x=\cdots+C[/latex]

1) ee^x 2) (1 / 2) e2 ee^x 3) ee^e^x 4) (1 / 2) ee^x Solution: (3) ee^e^x... View Article

∫{(dx) / (x² √(4 – x²))} =

1) (1 / 4) [(√4 - x2) / x] + c 2) (1 / 2) [(√4 - x2) / x] + c 3) (- 1 / 4) [(√4 - x2) / x] + c 4) (- 1 / 2) [(√4 - x2) / x] + c Solution: (3)... View Article

∫[(4e^x + 6e^-x) / (9e^x – 4e^-x)] dx =

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

∫{e^x [sin x + cos x] / (1 – sin² x)} dx =

1) ex cosec x + c 2) ex + cot x + c 3) ex sec x + c 4) ex tan x + c Solution: (3) ex sec x + c ∫{ex [sin x + cos x] / (1 - sin2 x)} dx =... View Article

∫{√[(e^x + a) / (e^x – a)]} dx =

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

∫{(1 + cot² x) / (1 + cot x)} dx =

∫{sin 2x / [sin⁴ x + cos⁴ x]} dx =

1) 2 tan-1 (tan2 x) + c 2) tan-1 (x tan2 x) + c 3) tan-1 (tan2 x) + c 4) None of these Solution: (4) None of these... View Article

∫[2^x / (√(1 – 4^x))] dx =

1) (log 2) sin-1 2x + c 2) (1 / 2) sin-1 2x + c 3) (1 / log 2) sin-1 2x + c 4) 2 log 2 sin-1 2x + c Solution: (3) (1 / log 2) sin-1 2x + c... View Article

If {√(cot x) / [sin x cos x]} dx = P √cot x + Q, then the value of P is

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

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