Civil Engineering (CE) Exam  >  Civil Engineering (CE) Tests  >  Engineering Mathematics  >  Test: Integral Calculus - Civil Engineering (CE) MCQ

Test: Integral Calculus - Civil Engineering (CE) MCQ


Test Description

20 Questions MCQ Test Engineering Mathematics - Test: Integral Calculus

Test: Integral Calculus for Civil Engineering (CE) 2024 is part of Engineering Mathematics preparation. The Test: Integral Calculus questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Test: Integral Calculus MCQs are made for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Integral Calculus below.
Solutions of Test: Integral Calculus questions in English are available as part of our Engineering Mathematics for Civil Engineering (CE) & Test: Integral Calculus solutions in Hindi for Engineering Mathematics course. Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free. Attempt Test: Integral Calculus | 20 questions in 60 minutes | Mock test for Civil Engineering (CE) preparation | Free important questions MCQ to study Engineering Mathematics for Civil Engineering (CE) Exam | Download free PDF with solutions
Test: Integral Calculus - Question 1

​ ​ ​

Detailed Solution for Test: Integral Calculus - Question 1

Test: Integral Calculus - Question 2

​ ​ ​

Detailed Solution for Test: Integral Calculus - Question 2

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Integral Calculus - Question 3

Detailed Solution for Test: Integral Calculus - Question 3

Test: Integral Calculus - Question 4

Detailed Solution for Test: Integral Calculus - Question 4

Test: Integral Calculus - Question 5

 

Detailed Solution for Test: Integral Calculus - Question 5

Test: Integral Calculus - Question 6

Detailed Solution for Test: Integral Calculus - Question 6

Test: Integral Calculus - Question 7

Detailed Solution for Test: Integral Calculus - Question 7

Test: Integral Calculus - Question 8

Detailed Solution for Test: Integral Calculus - Question 8

Test: Integral Calculus - Question 9

Detailed Solution for Test: Integral Calculus - Question 9

Test: Integral Calculus - Question 10

Detailed Solution for Test: Integral Calculus - Question 10

Test: Integral Calculus - Question 11

If A is the region bounded by the parabolas y2 = 4x and x2 = 4y then    is equal to 

Detailed Solution for Test: Integral Calculus - Question 11

 

Test: Integral Calculus - Question 12

The area of the region bounded by the curves x2 + y2 = a2  and x + y = a in the first quadrant is given by 

Detailed Solution for Test: Integral Calculus - Question 12

The curves are 

x2 + y2 = a2 ...(i)

and x + y = a ...(ii)

The curves (i) and (ii) intersect at A (a, 0) and B (0,a)

 

Test: Integral Calculus - Question 13

The area bounded by the curves y = 2√x , y = -x , x = 1  and x = 4 is given by

Detailed Solution for Test: Integral Calculus - Question 13

The given equations of the curves are

Test: Integral Calculus - Question 14

The area bounded by the curves y2 = 9x , x - y + 2 = 0 is given by

Detailed Solution for Test: Integral Calculus - Question 14

The equations of the given curves are

Test: Integral Calculus - Question 15

The area of the cardioid r = a (1 + cos θ) is given by

Detailed Solution for Test: Integral Calculus - Question 15

The equation of the cardioid is

r = a (1 + cos θ)  .... (i)

If a figure is drawn then from fig. the required area is

 

Test: Integral Calculus - Question 16

The area bounded by the curve r = θ cosθ and the lines θ = 0 and θ = π/2 is given by

Detailed Solution for Test: Integral Calculus - Question 16

 The equation of the given curve is

r = θ cosθ ...(i)

The required area

 

Test: Integral Calculus - Question 17

The area of the lemniscate r2 = a2 cos2θ is given by 

Detailed Solution for Test: Integral Calculus - Question 17

If a figure is drawn then from fig. the required area is

Test: Integral Calculus - Question 18

The area of the region bounded by the curve y(x2 + 2) = 3x and 4y = x2 is given by 

Detailed Solution for Test: Integral Calculus - Question 18

The equations of given curves are

y(x2 + 2) = 3x ....(i) and 4y = x2 ....(ii)

The curve (i) and (ii) intersect at A (2, 1).
If a figure is drawn then from fig. the required area is

Test: Integral Calculus - Question 19

The volume of the cylinder x2 + y2 = a2 bounded below by z = 0 and bounded above by z = h is given by

Detailed Solution for Test: Integral Calculus - Question 19

The equation of the cylinder is  x2 + y2 = a2

The equation of surface CDE is z = h

If a figure is drawn then from fig. the required area is

Test: Integral Calculus - Question 20

Detailed Solution for Test: Integral Calculus - Question 20

65 videos|121 docs|94 tests
Information about Test: Integral Calculus Page
In this test you can find the Exam questions for Test: Integral Calculus solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Integral Calculus, EduRev gives you an ample number of Online tests for practice

Up next

65 videos|121 docs|94 tests
Download as PDF

Up next