Home
Class 12
MATHS
If f(x)=f(4-x), g(x)+g(4-x)=3 and int(0)...

If `f(x)=f(4-x), g(x)+g(4-x)=3` and `int_(0)^(4)f(x)dx=2`, then : `int_(0)^(4)f(x)g(x)dx=`

A

3

B

6

C

2

D

5

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS (MHT-CET EXAM QUESTIONS))|12 Videos
  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos
  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos
  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)|24 Videos
  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos

Similar Questions

Explore conceptually related problems

If f(a-x)=f(x) and int_(0)^(a//2)f(x)dx=p , then : int_(0)^(a)f(x)dx=

If f(2-x)=f(2+x),f(4+x)=f(4-x) and int_(0)^(2)f(x)dx=5 then int_(0)^(50)f(x)dx is

If f(x) and g(x) be continuous functions in [0,a] such that f(x)=f(a-x),g(x)+g(a-x)=2 and int_0^a f(x)dx=k , then int_0^a f(x)g(x)dx= (A) 0 (B) k (C) 2k (D) none of these

If (d)/(dx)[g(x)]=f(x) , then : int_(a)^(b)f(x)g(x)dx=

If f(x)+f(pi-x)=1 and g(x)+g(pi-x)=1 , then : int_(0)^(pi)[f(x)+g(x)]dx=

If int_(-1)^(4)f(x)dx=4 and int_(2)^(4)[3-f(x)]dx=7 , then int_(2)^(-1)f(x)dx=

Let f(x) and g(x) be any two continuous function in the interval [0, b] and 'a' be any point between 0 and b. Which satisfy the following conditions : f(x)=f(a-x), g(x)+g(a-x)=3, f(a+b-x)=f(x) . Also int_(0)^(a)f(x)dx=int_(0)^(a)f(a-x)dx, int_(a)^(b)f(x)dx=int_(a)^(b)f(x)dx=int_(a)^(b)f(a+b-x)dx int_(0)^(a)f(x)dx=p" then " int_(0)^(a)f(x)g(x)dx is

Let f(x) and g(x) be any two continuous function in the interval [0, b] and 'a' be any point between 0 and b. Which satisfy the following conditions : f(x)=f(a-x), g(x)+g(a-x)=3, f(a+b-x)=f(x) . Also int_(0)^(a)f(x)dx=int_(0)^(a)f(a-x)dx, int_(a)^(b)f(x)dx=int_(a)^(b)f(x)dx=int_(a)^(b)f(a+b-x)dx If int_(0)^(a//2)f(x)dx=p," then "int_(0)^(a)f(x)dx is equal to

Let f(x) and g(x) be any two continuous function in the interval [0, b] and 'a' be any point between 0 and b. Which satisfy the following conditions : f(x)=f(a-x), g(x)+g(a-x)=3, f(a+b-x)=f(x) . Also int_(0)^(a)f(x)dx=int_(0)^(a)f(a-x)dx, int_(a)^(b)f(x)dx=int_(a)^(b)f(x)dx=int_(a)^(b)f(a+b-x)dx If f(a+b-x)=f(x) , then int_(a)^(b)xf(x)dx is

If int_(-1) ^(4) f(x) dx=4and int_(2)^(4) (3-f(x))dx=7, then int_(-1) ^(2) f(x) dx=

MARVEL PUBLICATION-INTEGRATION - DEFINITE INTEGRALS -MULTIPLE CHOICE QUESTIONS (PART - B : Mastering The BEST)
  1. If inta^b x^3dx=0,a n d"I f"inta^b x^2dx=2/3,"f i n dr e a lv a l u...

    Text Solution

    |

  2. Evaluate the following: int0^(pi//4) (sin^2 x \ cos^2 x)/(sin^3x + cos...

    Text Solution

    |

  3. If f(x)=f(4-x), g(x)+g(4-x)=3 and int(0)^(4)f(x)dx=2, then : int(0)^(4...

    Text Solution

    |

  4. If f(a-x)=f(x) and int(0)^(a//2)f(x)dx=p, then : int(0)^(a)f(x)dx=

    Text Solution

    |

  5. Evaluate: int(-1/2)^(1/2)cosxlog(1-x)/(1+x)dx

    Text Solution

    |

  6. int(-pi)^(pi)(1-x^(2))sin x cos^(2)x dx=

    Text Solution

    |

  7. If {:(f(x)=x", ...."x lt 1),(" "=x-1", ...." x ge 1","):} ...

    Text Solution

    |

  8. If 0 le alpha le 2pi and int(0)^(alpha)cos x dx = cos 2alpha, the : al...

    Text Solution

    |

  9. int(-2)^(3)[cot^(-1)((x-1)/(x+1))+cot^(-1)((x+1)/(x-1))]dx=

    Text Solution

    |

  10. If f(x)+f(pi-x)=1 and g(x)+g(pi-x)=1, then : int(0)^(pi)[f(x)+g(x)]dx=

    Text Solution

    |

  11. int(0)^(pi//2)(1)/(sqrt(tan x)-sqrt(cot x))dx=

    Text Solution

    |

  12. If int(-3)^(2)f(x)dx=2 and int(2)^(5)[5+f(x)]dx=9, then : int(5)^(-3)f...

    Text Solution

    |

  13. If (d)/(dx)[g(x)]=f(x), then : int(a)^(b)f(x)g(x)dx=

    Text Solution

    |

  14. If int(0)^(1)f(x)dx=1, int(0)^(1)x f(x)dx=a and int(0)^(1)x^(2)f(x)dx=...

    Text Solution

    |

  15. If int(0)^(a)(1)/(1+4x^(2))dx=(pi)/(8), then a =

    Text Solution

    |

  16. int(0)^(pi//2)((pi)/(4)-x)/(sqrt(sin x)+ sqrt(cos x))dx=

    Text Solution

    |

  17. int(-pi//2)^(pi//2)sin (|x|)dx=

    Text Solution

    |

  18. int(-pi//2)^(pi//2)(1)/(1+e^(sin x))dx=

    Text Solution

    |

  19. The value of the definite integral int0^1(1/(x^2+2xcosalpha+1))dx for ...

    Text Solution

    |

  20. If int(0)^(a)(g(x))/(f(x)+f(a-x))dx=0, then

    Text Solution

    |