Home
Class 12
MATHS
Find the value of int0^2|x^2+2x-3|dx....

Find the value of `int_0^2|x^2+2x-3|dx`.

A

4

B

6

C

3

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY & DIFFERENTIABILITY

    PATHFINDER|Exercise QUESTION BANK|13 Videos

  • DETERMINATES

    PATHFINDER|Exercise QUESTION BANK|21 Videos

Similar Questions

Explore conceptually related problems

Find the value of int_0^1x(1-x)dx

If int_0^1e^ (-x^2) dx=a , then find the value of int_0^1x^2e^ (-x^2) dx in terms of a .

Find the value of int_0^1 2x^3-3x^2-x+1 3dxdot

If f(0)=1,f(2)=3,f^'(2)=5 ,then find the value of int_0^1xf^('')(2x)dx

Find the value of " int x sec^(2)x dx

The value of int_(-2)^(2)x|x|dx .

Find the value of int_(0)^(1)root(3)(2x^(3)-3x^(2)-x+1)dx .

Find the values of int_(0)^(1)sin^(-1).(2x)/(1+x^(2))dx(-1lexle1)

Let f(x) be a continuous and periodic function such that f(x)=f(x+T) for all xepsilonR,Tgt0 .If int_(-2T)^(a+5T)f(x)dx=19(agt0) and int_(0)^(T)f(x)dx=2 , then find the value of int_(0)^(a)f(x)dx .

A continuous real function f satisfies f(2x)=3f(x)AAx in RdotIfint_0^1f(x)dx=1, then find the value of int_1^2f(x)dx

PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
  1. The value of inta^b(abs(x))/x dx , altblt0 is :

    Text Solution

    |

  2. If int[x]^(x+1) f(t)dt =[x] then th value of int(-2)^4 f(x) dx is equa...

    Text Solution

    |

  3. Find the value of int0^2|x^2+2x-3|dx.

    Text Solution

    |

  4. The value of int0^1.5 [x^2] dx is : where [x] denotes greatest integer...

    Text Solution

    |

  5. Let In=int0^(pi/4)tan^nxdx, then 1/(I2+I4),1/(I3+I5), 1/(I4+I6), 1/(I5...

    Text Solution

    |

  6. If int(-1)^4 f(x) dx =4 and int2^4[3-f(x)]dx=7 then the value of int(...

    Text Solution

    |

  7. if I10=int0^(pi/2) x^(10) sinx dx then the value of I10 + 90 I8 is

    Text Solution

    |

  8. If an= int0^(pi/4) cot^nx dx then a2+a4 , a3+a5 , a4+a6

    Text Solution

    |

  9. The value of int(pi/6)^((5pi)/6)sqrt(4-4sin^2t)dt

    Text Solution

    |

  10. int0^infty[2/lnx] dx where [] denotes the greatest integer equals

    Text Solution

    |

  11. if int2^e [(1/logx)-(1/(logx)^2)] dx=a+(b/log2)' then

    Text Solution

    |

  12. If I=abs(int2^6 (sinx dx)/(1+x^2) then

    Text Solution

    |

  13. Let f(x) =int(-1)^x abs(x+1) dx then

    Text Solution

    |

  14. If a continous function f satisfies int0^f(x) t^2 dt=x^2(1+x) for all ...

    Text Solution

    |

  15. The value of int0^(sin^2x)sin^(-1)(sqrtt)dt+int0^(cos^2x)cos^(-1)(sqrt...

    Text Solution

    |

  16. A line tangent to the graph of the function y=f(x) at the pointx =a fo...

    Text Solution

    |

  17. The value of int0^(pi/2)log(tanx)dx is

    Text Solution

    |

  18. int(pi/2)^(3pi/2) [2sinx]dx is equal to [x] denotes the greatest integ...

    Text Solution

    |

  19. The value of the integral int0^3 dx/((sqrt(x+1) +sqrt(5x+1)) is

    Text Solution

    |

  20. The solution of the equation intsqrt2^x dx/(xsqrt(x^2-1)=pi/12 is give...

    Text Solution

    |