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JEE Main Integrals — practice questions — page 2

Explore 61 free Integrals questions in JEE Main Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Integrals questions and exercises with answers

Showing questions 31–60 of 61.

Fill the gaps on integralsRead the answer and worked solution →Spot the one that does not fitRead the answer and worked solution →For different values of C, the integrals of 2x form a family of:Read the answer and worked solution →For C equal to zero, the parabola has its vertex at the:Read the answer and worked solution →Members of the family of curves are obtained from one another by shifting:Read the answer and worked solution →Two indefinite integrals with the same derivative lead to the same:Read the answer and worked solution →Which is one of the methods of integration studied?Read the answer and worked solution →Integration by partial fractions applies to a ratio of two:Read the answer and worked solution →A rational function is defined as the ratio of two:Read the answer and worked solution →Integration by parts is described as useful for integrating:Read the answer and worked solution →How many named methods of integration are introduced after inspection?Read the answer and worked solution →The definite integral can be introduced as the limit of a:Read the answer and worked solution →If F is an anti derivative, the definite integral equals F at the end points taken as a:Read the answer and worked solution →For the limit of a sum, the function f must be:Read the answer and worked solution →The definite integral is taken over an interval that is:Read the answer and worked solution →The Fundamental Theorem of Calculus is introduced through a function called the:Read the answer and worked solution →The two ways of introducing the definite integral are limit of a sum and:Read the answer and worked solution →Indefinite integrals were studied before the section on integrals that are:Read the answer and worked solution →The geometrical interpretation of an indefinite integral is a family of:Read the answer and worked solution →Shifting the parabola y equals x squared one unit up gives the member with C equal to:Read the answer and worked solution →For a negative value of C, the parabola's vertex lies on the y-axis on the side that is:Read the answer and worked solution →In integration by substitution, the aim is to rewrite the integrand in a form that is:Read the answer and worked solution →The definite integral of f from a to b is a:Read the answer and worked solution →True or false on integral calculusRead the answer and worked solution →Quick picks on integral calculusRead the answer and worked solution →Match each method to its useRead the answer and worked solution →Indefinite or definiteRead the answer and worked solution →Named method or notRead the answer and worked solution →Evaluate a definite integralRead the answer and worked solution →Fill the gaps on integral calculusRead the answer and worked solution →

Worked practice questions

Fill the gaps on integrals

Read exercise and reference answers
Missing parts
  1. Answer
    integration
    Choices
    1. integration
    2. derivation
    3. estimation
  2. Answer
    arbitrary
    Choices
    1. arbitrary
    2. absolute
    3. imaginary
  3. Answer
    infinitely many
    Choices
    1. infinitely many
    2. exactly one
    3. exactly two
  4. Answer
    area
    Choices
    1. area
    2. tangents
    3. primes
Complete the statement
Finding anti derivatives is called {0}. The constant C is called {1}. A function has {2} anti derivatives. Integral calculus began with the problem of {3}.
Instructions
Tap a word to drop it into the empty slot.
_Source: syllabus Mathematics Part II, Chapter 7, Integrals._

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Spot the one that does not fit

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Questions
  1. Items
    1. Tangent line
    2. Anti derivative
    3. Integration
    4. Constant C
    Odd item
    Tangent line
  2. Items
    1. Definite
    2. Indefinite
    3. Derivative
    4. Integral
    Odd item
    Derivative
  3. Items
    1. Family of curves
    2. Arbitrary C
    3. One fixed curve
    4. Many integrals
    Odd item
    One fixed curve
  4. Items
    1. Slope of graph
    2. Rate of change
    3. Tangent line
    4. Area of region
    Odd item
    Area of region
Instructions
Tap the item that does not belong with the rest.
_Source: syllabus Mathematics Part II, Chapter 7, Integrals._

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For different values of C, the integrals of 2x form a family of:

  1. Parabolas
  2. Ellipses
  3. Circles
  4. Hyperbolas
Show answer and solution

Correct answer: A. Parabolas

1. Integrating 2x gives x squared plus C. 2. Each choice of C gives a curve of the same shape. 3. Every member is a parabola. _Source: syllabus Mathematics Part II, Chapter 7, Integrals._

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