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Engineering Mathematics
Calculus
Integral Calculus

Questions mapped to Integral Calculus under Calculus.

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Q#1 Calculus GATE EE 2026 (Set 1) NAT +2 marks -0 marks

The integral  evaluates to (Round off to two decimal places)

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Q#2 Calculus GATE EE 2018 (Set 1) NAT +2 marks -0 marks

As shown in the figure, C is the arc from the point (3, 0) to the point (0, 3) on the circle. The value of the integral  is ________ (up to 2 decimal places).

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Q#3 Calculus GATE EE 2017 (Set 1) NAT +1 mark -0 marks

Let, where R is the region shown in the figure and. The value of I equals __________. (Give the answer up to two decimal places).

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Q#4 Calculus GATE EE 2015 (Set 2) NAT +2 marks -0 marks

The volume enclosed by the surface  over the triangle bounded by the lines    x = y; x = 0; y = 1 in the xy plane is _________.

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Q#5 Calculus GATE EE 2014 (Set 2) MCQ +2 marks -0.66 marks

To evaluate the doubled integral, we make the substitution  and . The integral will reduce to

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Q#6 Calculus GATE EE 2014 (Set 3) NAT +1 mark -0 marks

A particle, starting from origin at t = 0s, is travelling along x-axis with velocity

At t = 3s, the difference between the distance covered by the particle and the magnitude of displacement from the origin is ___________.

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Q#7 Calculus GATE EE 2010 (Set 1) MCQ +1 mark -0.33 marks

The value of the quantity P, where. Is equal to

0

1

e

1/e

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Q#8 Calculus GATE EE 2009 (Set 1) MCQ +2 marks -0.66 marks

f (x, y) is a continuous function defined over.  Given the two constraintsand  , the volume under f(x, y) is        

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Q#9 Calculus GATE EE 2007 (Set 1) MCQ +2 marks -0.66 marks

The integral equals

0

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Q#10 Calculus GATE EE 2006 (Set 1) MCQ +2 marks -0.66 marks

The expression  for the volume of a cone is equal to

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Q#11 Calculus GATE EE 2005 (Set 1) MCQ +1 mark -0.33 marks

If , then S has the value

1

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