Home
Class 12
MATHS
Prove that int(0)^(2)|x^(2)+2x-3|dx=4...

Prove that `int_(0)^(2)|x^(2)+2x-3|dx=4`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Prove that int_0^2|x^2+2x-3|dx=4

Prove that : int_(0)^(pi) x cos^(2) x dx =(pi^(2))/(4)

Prove that int_(0)^(pi/2) sin^(3) x dx=(2)/(3)

int_(0)^(2) |x^(2)+2x-3|dx is equal to

int_(0)^(3)(x^(2)+1)dx

int_(0)^(1) (1)/(x^(2) +2x+3)dx

Prove that int_(0)^(pi//2)(dx)/((a^(2) sin^(2) x +b^(2) cos^(2)x)^(2))=(pi(a^(2)+b^(2)))/(4a^(3)b^(3)) .

int_(0)^(4)(x+e^(2x))dx

Evaluate (i) int_(0)^(pi)|cosx|dx (ii) int_(0)^(2)|x^(2)+2x-3|dx

If f(2a-x)=-f(x), prove that int_0^(2a)f(x)dx=0

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. int2^4((log)x2-(((log)2 2)^2)/(ln2))dx= 0 (b) 1 (c) 2 (d) 4

    Text Solution

    |

  2. The value of the integral int(-2)^2|1-x^2|dx is a.4 b. 2 c. -2 d. 0

    Text Solution

    |

  3. Prove that int(0)^(2)|x^(2)+2x-3|dx=4

    Text Solution

    |

  4. Let image of the line (x-1)/3=(y-3)/5=(z-4)/2 in the plane 2x-y+z+3=0 ...

    Text Solution

    |

  5. If f(x)={{:(e^(|x|+|x|-1)/(|x|+|x|),":",xne0),(-1,":",x=0):} (where [...

    Text Solution

    |

  6. Show that sin^(- 1)(sin((33pi)/7))+cos^(- 1)(cos((46pi)/7))+tan^-1(-ta...

    Text Solution

    |

  7. If [dot] denotes the greatest integer function, then (lim)(xvec0)x/a...

    Text Solution

    |

  8. prove "lim"(xvecoo)(ln x)/([x])="lim"(xvecoo)([x])/(ln x) where [.]...

    Text Solution

    |

  9. In which of the following function, range is not singleton set f(x)...

    Text Solution

    |

  10. If A is domain of f(x)=lntan^(-1)((x^3-6x^2+11 x-6)(x)(e^x-5) and B is...

    Text Solution

    |

  11. Let tan(2pi|sintheta|)=cot(2pi|costheta|) , where theta in R and f(x)...

    Text Solution

    |

  12. If A=([a(i j)])(3x3') such that a(i j)={2,,i=j0,i!=j ,t h e n |A|=8 ...

    Text Solution

    |

  13. The domain of the function f(x)=(1)/(sqrt(""^(10)C(x-1)-3xx""^(10)C(x)...

    Text Solution

    |

  14. Find the value of c for which the vectors vec a=(clog2x) hat i-6 hat ...

    Text Solution

    |

  15. Show that the substitution z=ln(tan(x/2)) changes the equation (d^2y)/...

    Text Solution

    |

  16. If cosx/2dotcosx/(2^2)dotcosx/(2^3)oo=(sinx)/x , then find the value o...

    Text Solution

    |

  17. If f(x)=log((1+x)/(1-x)),t h e n (a)f(x1)f(x2)=f(x1+x2) (b)f(x+2)-...

    Text Solution

    |

  18. Straight line |2-x-y4 4 2xx-y-2 2x2y2y y-x-2|=0 passes through the fix...

    Text Solution

    |

  19. If f(x)=|"cos"(x+x^2)"sin"(x+x^2)-"cos"(x+x^2)"sin"(x-x^2)"cos"(x-x^2...

    Text Solution

    |

  20. If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then (1-x^2) (d^2y)/(dx^2)-x(dy)/(d...

    Text Solution

    |