Home
Class 12
MATHS
int (-1) ^(1) (sin x + x ^(2))/( 3 - |x|...

`int _(-1) ^(1) (sin x + x ^(2))/( 3 - |x|) dx`

A

0

B

`2 int _(0) ^(1) (sin x )/( 3- |x|) dx`

C

`2 int _(0)^(1) (x ^(2))/(3- |x| ) dx`

D

`2 int _(0) ^(1) (sin x + x ^(2))/(3 - |x|)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -2 (LEVEL-II)|11 Videos

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -3|55 Videos

  • DEFINITE INTEGRATION

    MOTION|Exercise ELEMENTRAY EXERCISE|47 Videos

  • CONTINUITY

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) (PREVIOUS YEAR JEE ADVANCED)|5 Videos

  • DETERMINANTS

    MOTION|Exercise EXERCISE-4 (LEVEL-II)|6 Videos

Similar Questions

Explore conceptually related problems

int_(-1)^(1)sin^(2) x dx

int_(-1)^(1)(x^(3) + sin x + 2)dx =

int (sin ^ (- 1) x) / (x ^ (2)) dx

int (sin ^ (- 1) x) / (x ^ (2)) dx

int_(-1)^(1)(x^(4)+sin^(3)x)dx

int_(-1)^(3)sin(x-[x])dx

int_ (0) ^ (1) sin (x ^ (2) + 2x + 1) dx-int_ (1) ^ (2) sin x ^ (2) dx is

int(1)/((3sin x+cos x)^(2))dx

int (1) / (x ^ (2)) sin ^ (2) ((1) / (x)) dx

MOTION-DEFINITE INTEGRATION -EXERCISE -2 (LEVEL-I)
  1. int(0)^(pi//2)(1)/(1+tan^(3)x)dx=

    Text Solution

    |

  2. int (-1) ^(1) (x ^(4))/( 1 + e ^(x ^(7)))dx is

    Text Solution

    |

  3. int (-1) ^(1) (sin x + x ^(2))/( 3 - |x|) dx

    Text Solution

    |

  4. The value of overset(pi//4)underset(-pi//4)int(e^(x)sec^(2)x)/(e^(2x)-...

    Text Solution

    |

  5. int ( -pi) ^(pi) (2x ( 1+ sin x ))/(1+ cos ^(2) x )

    Text Solution

    |

  6. int (0) ^(pi) (cos ^(2) x ) dx,

    Text Solution

    |

  7. If int0^11 (11^x)/(11^([x])) dx=k/(log 11) then value of k is (where [...

    Text Solution

    |

  8. Let Tgt0 be a fixed real number. Suppose f is a cintinuous function s...

    Text Solution

    |

  9. Let f: RvecR be a differentiable function having f(2)=6,f^(prime)(2)=1...

    Text Solution

    |

  10. The value of lim(xto0) (int(0)^(x^2)sec^2t dt)/(x sin x) dx , is

    Text Solution

    |

  11. underset( x to 0) lim ( int(0)^(x^(2)) cos^(2)t" "dt)/(x sin x) = ...

    Text Solution

    |

  12. If int0^y cos t^2\ dt = int0^(x^2)\ sint/t \ dt, then dy/dx is equal t...

    Text Solution

    |

  13. let f(x)=int(t^2-t+1)dt,AA x in (3,4), then the difference between th...

    Text Solution

    |

  14. Ifint(sinx)^1t^2f(t)dt=1=1-s inx ,w h e r ex in (0,pi/2), then find t...

    Text Solution

    |

  15. The smallest interval [a,b] such that overset(1)underset(0)int (1)/...

    Text Solution

    |

  16. Given that n is odd and m is even integer. the value of int (0) ^(x ) ...

    Text Solution

    |

  17. underset(n to oo)"lim"underset(r=1)overset(n)sum((r^(3))/(r^(4) + n^(4...

    Text Solution

    |

  18. underset(n to oo)lim" " underset(r=2n+1)overset(3n)sum (n)/(r^(2)-...

    Text Solution

    |

  19. lim(n->oo)[(1+1/n^2)(1+2^2 /n^2)(1+3^2 /n^2)......(1+n^2 / n^2)]^(1/n)

    Text Solution

    |

  20. underset(nrarroo)"lim"[sin'(pi)/(n)+sin'(2pi)/(n)+"......"+sin'((n-1))...

    Text Solution

    |