Home
Class 12
MATHS
Evaluate: (i) \int(-1)^1f(x)dx ,\where\,...

Evaluate: `(i) \int_(-1)^1f(x)dx ,\where\, f(x)={1-2x ,xlt=0 ;1+2x ,xgt=0} ,` ` (ii)\ int_(-1)^4f(x)dx ,\where\, f(x)={2x+8,-1lt=xlt=2; 6x, 2lt=xlt=4}`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    RD SHARMA ENGLISH|Exercise All Questions|282 Videos

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA ENGLISH|Exercise All Questions|168 Videos

Similar Questions

Explore conceptually related problems

Evaluate int_1^4 f(x)dx , where f(x)=|x-1|+|x-2|+|x-3|

Evaluate int_1^4 f(x)dx, where f(x)= |x-1|+|x-2|+|x-3|.

Evaluate int_1^4 f(x)dx , where f(x)={(2x+8,1lex,le,2),(6x,2lex,le,4):}

Evaluate int_-1^1 f(x)dx , f(x) = {(1,-,2x,x,le,0),(1,+,2x,x,ge,0):}

Find (lim)_(x->1)f(x) ,where f(x)={(x^2-1, xlt=1),(-x^2-1, x >1):}

The value of int_(-10)^(10)[{f(f(x)}+{f(f((1)/(x))}]dx , where f(x)=(1-x)/(1+x)

Evaluate the following integral: int_0^9f(x)dx ,\ w h e r e\ f(x)=sinx,\ 0lt=xlt=pi//2 w h e r e\ f(x)= 1 ,pi/2lt=xlt=3 w h e r e\ f(x)=e^(x-3),\ 3lt=xlt=9

Evaluate: int_(-1)^4f(x)dx=4a n dint_2^4(3-f(x))dx=7, then find the value of int_2^(-1)f(x)dxdot

Evaluate the following integral: int_2^4f(x)dx ,\ w h e r e\f(x)={7x+3,\ if\ 1lt=xlt=3 , w h e r e\f(x)=8x \ if\ 3lt=xlt=4

Evaluate: int_(-1)^4f(x)dx=4a n dint_2^4(3-f(x))dx=7, then find the value of int_-1^(2)f(x)dxdot

RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. Evaluate the following integrals: int0^(pi//2)(tanx)/(1+m^2tan^2x)d...

    Text Solution

    |

  2. Evaluate: int0^1|5x-3|dx (ii) int0^pi|cosx|dx (iii) int(-5)^5|x-2...

    Text Solution

    |

  3. Evaluate: (i) \int(-1)^1f(x)dx ,\where\, f(x)={1-2x ,xlt=0 ;1+2x ,xgt=...

    Text Solution

    |

  4. int (1)^x 1/x dx =

    Text Solution

    |

  5. If a >0, find int0^(3a)|x^2-a^2|dxdot

    Text Solution

    |

  6. If [dot] denotes the greatest integer function, then find the valu...

    Text Solution

    |

  7. Evaluate: int0^3[x]dx

    Text Solution

    |

  8. int0^1d/(dx){sin^(-1)((2x)/(1+x^2))}dx is equal to 0 (b) pi (c) ...

    Text Solution

    |

  9. Evaluate the following integrals: int(-a)^a(xe^x^2)/(1+x^2)dx

    Text Solution

    |

  10. Evaluate the following integrals: int0^(pi//4)|cos2x|dx

    Text Solution

    |

  11. Evaluate the following integrals: int-5^0f(x)dx ,w h e r ef(x)=|x|+|x+...

    Text Solution

    |

  12. Evaluate the following definite integrals (1-58): int1^2 1/(sqrt((x...

    Text Solution

    |

  13. Evaluate the following integrals: int0^picosx|cosx|dx

    Text Solution

    |

  14. Let f(x)=x-[x], for ever real number x ,w h e r e[x] is the g...

    Text Solution

    |

  15. Evaluate: int0^(sqrt(3))1/(1+x^2)sin^(-1)((2x)/(1+x^2))dx

    Text Solution

    |

  16. Evaluate the following integrals: int0^9f(x)dx ,w h e r ef(x)={si...

    Text Solution

    |

  17. Evaluate the following integrals: int0^2|x^2-3x+2|dx

    Text Solution

    |

  18. Evaluate the following integrals: int0^1sqrt((1-x)/(1+x))dx

    Text Solution

    |

  19. Prove that: inta^b(f(x))/(f(x)+f(a+b-x))dx=(b-a)/2

    Text Solution

    |

  20. Evaluate of each of the following integrals (1-15): int0^5(root(3)(x...

    Text Solution

    |