Integrals
12th Class - CBSE - Mathematics - 9086 Questions - 0 Concepts
7
Important Questions
Q1
Subjective
Hard
Evaluate:
$$\int { \sqrt { { x }^{ 2 }-16 } } \ dx$$
$$\int { \sqrt { { x }^{ 2 }-16 } } \ dx$$
Asked in: Mathematics - Integrals
1 Verified Answer | Published on 17th 09, 2020
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Q2
Single Correct
Hard
$$\int { \cfrac { 2{ x }^{ 3 } }{ \left( 4+{ x }^{ 8 } \right) } } dx=$$?
- A. $$\cfrac { 1 }{ 2 } \tan ^{ -1 }{ \cfrac { { x }^{ 4 } }{ 2 } } +C$$
- B. $$\cfrac { 1 }{ 2 } \tan ^{ -1 }{ { x }^{ 4 } } +C\quad $$
- C. none of these
- D. $$\cfrac { 1 }{ 4 } \tan ^{ -1 }{ \cfrac { { x }^{ 4 } }{ 2 } } +C\quad $$
Asked in: Mathematics - Integrals
1 Verified Answer | Published on 17th 09, 2020
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Q3
Single Correct
Hard
$$\int { \cfrac { 3{ x }^{ 5 } }{ \left( 1+{ x }^{ 12 } \right) } } dx=$$?
- A. $$\tan ^{ -1 }{ { x }^{ 6 } } +C$$
- B. $$\cfrac { 1 }{ 4 } \tan ^{ -1 }{ { x }^{ 6 } } +C$$
- C. none of these
- D. $$\cfrac { 1 }{ 2 } \tan ^{ -1 }{ { x }^{ 6 } } +C$$
Asked in: Mathematics - Integrals
1 Verified Answer | Published on 17th 09, 2020
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Q4
Subjective
Hard
$$\text { Find: } \displaystyle \int \dfrac{\sqrt{x}}{\sqrt{a^{3}-x^{3}}} \ dx$$
Asked in: Mathematics - Integrals
1 Verified Answer | Published on 17th 09, 2020
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Q5
Subjective
Hard
Evaluate:
$$\int { \sqrt { 4-{ x }^{ 2 } } } dx\quad $$
$$\int { \sqrt { 4-{ x }^{ 2 } } } dx\quad $$
Asked in: Mathematics - Integrals
1 Verified Answer | Published on 17th 09, 2020
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Q6
Subjective
Hard
Evaluate:
$$\int { \cfrac { 2x }{ ({ x }^{ 2 }+1)({ x }^{ 2 }+3) } } dx$$
$$\int { \cfrac { 2x }{ ({ x }^{ 2 }+1)({ x }^{ 2 }+3) } } dx$$
Asked in: Mathematics - Integrals
1 Verified Answer | Published on 17th 09, 2020
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Q7
Subjective
Hard
Evaluate:
$$\int { \cfrac { { x }^{ 2 } }{ \left( 1+{ x }^{ 3 } \right) } } dx$$
$$\int { \cfrac { { x }^{ 2 } }{ \left( 1+{ x }^{ 3 } \right) } } dx$$
Asked in: Mathematics - Integrals
1 Verified Answer | Published on 17th 09, 2020
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Q8
Subjective
Medium
Evaluate the following integrals:
$$\int { \cfrac { 1 }{ \sqrt { 7-3x-2{ x }^{ 2 } } } } dx$$
$$\int { \cfrac { 1 }{ \sqrt { 7-3x-2{ x }^{ 2 } } } } dx$$
Asked in: Mathematics - Integrals
1 Verified Answer | Published on 17th 09, 2020
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Q9
Subjective
Medium
Evaluate:
$$\int { \cfrac { dx }{ \sqrt { 9{ x }^{ 2 }+16 } } } $$
$$\int { \cfrac { dx }{ \sqrt { 9{ x }^{ 2 }+16 } } } $$
Asked in: Mathematics - Integrals
1 Verified Answer | Published on 17th 09, 2020
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Q10
Subjective
Medium
Evaluate the following integral:
$$\displaystyle \int { \cfrac { { e }^{ x } }{ \sqrt { 16-{ e }^{ 2x } } } } dx$$
$$\displaystyle \int { \cfrac { { e }^{ x } }{ \sqrt { 16-{ e }^{ 2x } } } } dx$$
Asked in: Mathematics - Integrals
1 Verified Answer | Published on 17th 09, 2020
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Questions
203525
Subjects
9
Chapters
126
Enrolled Students
106
