**Class 12 Maths Important questions on Chapter 7 Integral with Solutions for term 2 CBSE Board 2021-22**

**Class 12 Maths Important Questions on Chapter 7 Integral with Solutions** for **term 2 CBSE Board 2021-22** are created here for helping the** class 12** students in boosting their preparation for **class 12 maths exam** of **CBSE Board term 2 exam 2021-22**. These **solutions** will give an idea of solving the **questions on integral** accessed in the **question** paper of **CBSE Board term 2 exams 2021-22**. Each question is selected from last years **class 12 maths question** papers keeping in view the format of **term 2 class 12 maths question paper 2021-22.**

**Click for online shopping**

**Future Study Point.Deal: Cloths, Laptops, Computers, Mobiles, Shoes etc**

**Class 12 Maths Important questions on Chapter 7 Integral with Solutions for term 2 CBSE Board 2021-22**

Ans. The given function is

Let t = 3x

dt/dx = 3

dt = 3dx

Substituting 3dx by dt,we have

We know

Substituting t=3x,we have

Ans. The given function is

2x – x² = -[x² -2x +1 -1]= -[(x – 1)² -1] =1 – (x – 1)²

Substituting this value in the function

Ans. The given function is

**Q4. Evaluate**

9 + 8x – x² =-(x² -8x -9) = -(**x² -8x +4²** -4²-9)=-[(x -4)² -25] =**5² – (x -4)²**

Sustituting this value in the denominator

**Q5. Evaluate**

Ans. Let t = 7 – 4x

differentiating both sides

dt/dx = -4

dt = -4 dx

dx = -dt/4

Substituting this value in the function

**Q6. Evaluate**

Ans. The given function is

Ans. The given function is

Q8. Evaluate

Ans. The given function is

Q9. If x >a then evaluate

Ans. The given function is

Q10. Evaluate

Ans. The given function is

Let t = √x

t² = x

2t.dt/dx = 1

dx = 2t.dt

Substituting these values ,we get

= 2t + C

Substituting the value t= √x

= 2√x + C

Q11.Evaluate

Ans. Let the given function is f(x)

Therefore given function is an even function

=2(e – 1)

=2e -2

** ****You can compensate us by donating any amount of money for our survival**

**Our Paytm No 9891436286**

**NCERT Solutions of Science and Maths for Class 9,10,11 and 12**

**NCERT Solutions of class 9 maths**

Chapter 1- Number System | Chapter 9-Areas of parallelogram and triangles |

Chapter 2-Polynomial | Chapter 10-Circles |

Chapter 3- Coordinate Geometry | Chapter 11-Construction |

Chapter 4- Linear equations in two variables | Chapter 12-Heron’s Formula |

Chapter 5- Introduction to Euclid’s Geometry | Chapter 13-Surface Areas and Volumes |

Chapter 6-Lines and Angles | Chapter 14-Statistics |

Chapter 7-Triangles | Chapter 15-Probability |

Chapter 8- Quadrilateral |

**NCERT Solutions of class 9 science **

**CBSE Class 9-Question paper of science 2020 with solutions**

**CBSE Class 9-Sample paper of science**

**CBSE Class 9-Unsolved question paper of science 2019**

**NCERT Solutions of class 10 maths**

**CBSE Class 10-Question paper of maths 2021 with solutions**

**CBSE Class 10-Half yearly question paper of maths 2020 with solutions**

**CBSE Class 10 -Question paper of maths 2020 with solutions**

**CBSE Class 10-Question paper of maths 2019 with solutions**

**NCERT solutions of class 10 science**

**Solutions of class 10 last years Science question papers**

**CBSE Class 10 – Question paper of science 2020 with solutions**

**CBSE class 10 -Latest sample paper of science**

**NCERT solutions of class 11 maths**

Chapter 1-Sets | Chapter 9-Sequences and Series |

Chapter 2- Relations and functions | Chapter 10- Straight Lines |

Chapter 3- Trigonometry | Chapter 11-Conic Sections |

Chapter 4-Principle of mathematical induction | Chapter 12-Introduction to three Dimensional Geometry |

Chapter 5-Complex numbers | Chapter 13- Limits and Derivatives |

Chapter 6- Linear Inequalities | Chapter 14-Mathematical Reasoning |

Chapter 7- Permutations and Combinations | Chapter 15- Statistics |

Chapter 8- Binomial Theorem | Chapter 16- Probability |

**CBSE Class 11-Question paper of maths 2015**

**CBSE Class 11 – Second unit test of maths 2021 with solutions**

**NCERT solutions of class 12 maths**

Chapter 1-Relations and Functions | Chapter 9-Differential Equations |

Chapter 2-Inverse Trigonometric Functions | Chapter 10-Vector Algebra |

Chapter 3-Matrices | Chapter 11 – Three Dimensional Geometry |

Chapter 4-Determinants | Chapter 12-Linear Programming |

Chapter 5- Continuity and Differentiability | Chapter 13-Probability |

Chapter 6- Application of Derivation | CBSE Class 12- Question paper of maths 2021 with solutions |

Chapter 7- Integrals | |

Chapter 8-Application of Integrals |