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TN 12th Computer Applications மின்னணு தரவு பரிமாற்றம் Sample Question Papers Study Material - QB365 Set A

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TN 12th Computer Applications மின் - வணிக பாதுகாப்பு அமைப்புகள் Sample Question Papers Study Material - QB365 Set A

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12th Standard

TN 12th Computer Applications மின்னணு செலுத்தல் முறைகள் Sample Question Papers Study Material - QB365 Set A

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12th Standard

TN 12th Computer Applications மின் - வணிகம் Sample Question Papers Study Material - QB365 Set A

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12th Standard

TN 12th Computer Applications திறந்த மூல கருத்துருக்கள் Sample Question Papers Study Material - QB365 Set A

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TN 12th Computer Applications வலையமைப்பு வடமிடல் Sample Question Papers Study Material - QB365 Set A

12th Standard Maths English Medium - Applications of Integration 1 Mark Creative Question Paper and Answer Key 2022 - 2023

Published on: 02/09/2022

QB365 provides a detailed and simple solution for every Possible Creative Questions in Class 12 Maths Subject - Applications of Integration, English Medium. It will help Students to get more practice questions, Students can Practice these question papers in addition to score best marks.

Download Tamil Nadu 12th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.

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Questions:

Multiple Choice Question

15 x 1 = 15

\(\int _{ 0 }^{ \frac { \pi }{ 2 } }{ \frac { sin \ x-cos \ x }{ 1+sin \ x cos \ x } dx= } \) ............

(a)

\(\frac { \pi }{ 2 } \)

(b)

(c)

\(\frac { \pi }{ 4 } \)

(d)

\( \pi\)

The value of \(\int _{ 0 }^{ \frac { \pi }{ 3 } } { tan } x \ dx\) __________

(a)

-log 2

(b)

log 2

(c)

-log 3

(d)

log 3

\(\int _{ -\frac { \pi }{ 2 } }^{ \frac { \pi }{ 2 } }{ \frac { sinx }{ 2+cosx } dx= } \) __________

(a)

(b)

(c)

log 2

(d)

log 4

\(\int _{ a }^{ b }{ f(x) } dx=\) ..............

(a)

\(2\int _{ 0 }^{ a }{ f(x) } dx\)

(b)

\(\int _{ a }^{ b }{ f(a-x) } dx\)

(c)

\(\int _{ b }^{ a }{ f(b-x) } dx\)

(d)

\(\int _{ a }^{ b }{ f(a+b-x) } dx\)

The volume generated by the curve y² = 16x from x = 2 to x = 3 rotating about x - axis ......... cu. units

(a)

72π

(b)

\(\frac { 256\times 19 }{ 3 } \)ㅠ

(c)

40ㅠ

(d)

80ㅠ

The area of the ellipse \(\frac { { x }^{ 2 } }{ 9 } +\frac { { y }^{ 2 } }{ 4 } =1\) __________

(a)

6π

(b)

36π

(c)

6π²

(d)

36π²

The area enclosed by the curve y² = 4x, the x-axis and its latus rectum is ________ sq.units.

(a)

\(\frac23\)

(b)

\(\frac43\)

(c)

\(\frac83\)

(d)

\(\frac{16}{3}\)

\(\int _{ 0 }^{ 2a }{ f(x) } dx=2\int _{ 0 }^{ 2a }{ f(x) } dx\) if _________

(a)

f(2a -x) = f(x)

(b)

f(a -x) = f(x)

(c)

f(x) = - f(-x)

(d)

f(-x) = f(x)

\(\int _{ -1 }^{ 1 }{ x \ dx } \) = ...............

(a)

-1

(b)

(c)

(d)

10.

If \(\int _{ 0 }^{ a }{ f(x) } dx+\int _{ 0 }^{ a }{ f(2a-x) } dx=\) __________

(a)

\(\int _{ 0 }^{ a }{ f(x) } dx\)

(b)

\(2\int _{ 0 }^{ a }{ f(x) } dx\)

(c)

\(\int _{ 0 }^{ 2a }{ f(x) } dx\)

(d)

\(\int _{ 0 }^{ 2a }{ f(a-x) } dx\)

11.

\(\int _{ 0 }^{ \infty }{ { e }^{ -mx } } { x }^{ 7 }\) dx is __________

(a)

(b)

(c)

(d)

12.

The ratio of the volumes generated by revolving the ellipse \(\frac { { x }^{ 2 } }{ 9 } +\frac { { y }^{ 2 } }{ 4 } \) = 1 about major and minor axes is __________

(a)

4 : 9

(b)

9 : 4

(c)

2 : 3

(d)

3 : 2

13.

The area bounded by the parabola y = x² and the line y = 2x is __________

(a)

\(\frac43\)