7

Integrals

12th Class - CBSE - Mathematics - 9086 Questions - 0 Concepts

Important Questions

Q1 Subjective Hard
Evaluate:
$$\int { \sqrt { { x }^{ 2 }-16 }  }  \ dx$$

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:
$$\int { \sqrt { 4-{ x }^{ 2 } }  } dx\quad $$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q6 Subjective Hard
Evaluate:
$$\int { \cfrac { 2x }{ ({ x }^{ 2 }+1)({ x }^{ 2 }+3) }  } dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q7 Subjective Hard
Evaluate:
$$\int { \cfrac { { x }^{ 2 } }{ \left( 1+{ x }^{ 3 } \right)  }  } dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q8 Subjective Medium
Evaluate the following integrals:
$$\int { \cfrac { 1 }{ \sqrt { 7-3x-2{ x }^{ 2 } }  }  } dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q9 Subjective Medium
Evaluate:
$$\int { \cfrac { dx }{ \sqrt { 9{ x }^{ 2 }+16 }  }  } $$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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Q10 Subjective Medium
Evaluate the following integral:
$$\displaystyle \int { \cfrac { { e }^{ x } }{ \sqrt { 16-{ e }^{ 2x } }  }  } dx$$

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
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