Home
Class 12
MATHS
If f(x)={(e^cosx sinx ,, |x| leq 2),(2 ...

If `f(x)={(e^cosx sinx ,, |x| leq 2),(2 ,, other wise):}`. Then `int_-2^3 f(x)dx=`______

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE ENGLISH|Exercise Jee Advanced (Single|1 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise MATRIX-MATCH TYPE|3 Videos

Similar Questions

Explore conceptually related problems

If f(x)=|cosx-sinx| , then f'(pi/2) is equal to

If f(x)={{:(x+3 : x lt 3),(3x^(2)+1:xge3):} , then find int_(2)^(5) f(x) dx .

int (sinx-2/3+e^x) dx

If f(x)=(2-3cosx)/(sinx) , then f'((pi)/(4)) is equal to

If f'(x)=sinx+sin4x.cosx, then f'(2x^(2)) is

If f(x)=|(0,x^2-sinx,cosx-2),(sinx-x^2,0,1-2x),(2-cosx,2x-1,0)|, then int f(x) dx is equal to

int e^x(sinx+cosx)dx=

If f(x)=10cosx+(13+2x)sinx then f''(x)+f(x)=

Prove that int_-2^2 f(x^4)dx=2int_0^2 f(x^4)dx

int e^x {f(x)-f'(x)}dx= phi(x) , then int e^x f(x) dx is

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. Let f:[0,2]->R be a function which is continuous on [0,2] and is diff...

    Text Solution

    |

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

    Text Solution

    |

  3. If f(x)={(e^cosx sinx ,, |x| leq 2),(2 ,, other wise):}. Then int-2^...

    Text Solution

    |

  4. Evaluate: int0^(pi//2)1/((a^2cos^2x+b^2sin^2x)^2)dx

    Text Solution

    |

  5. Prove that: int0^(2pi)(xsin^(2n)x)/(sin^(2n)+cos^(2n)x)dx= pi^2

    Text Solution

    |

  6. Prove that 1 lt underset(0)overset(2)int((5-x)/(9-x^(2)))dx lt 6/5

    Text Solution

    |

  7. If the difference between the roots of the equation x^2+""a x""+""1...

    Text Solution

    |

  8. If m is the least value (global minimum) and M is the greatest value (...

    Text Solution

    |

  9. Let f: R to R be a continuous function which satisfies f(x)= int0^xf(...

    Text Solution

    |

  10. Show that inta^b(|x|)/x dx=|b|-|a|dot

    Text Solution

    |

  11. The value of (pi^2)/(1n3)int(7/6)^(5/6)sec(pix)dxi s

    Text Solution

    |

  12. Let: f(x)=int0^x|2t-3|dtdot Then discuss continuity and differentiabil...

    Text Solution

    |

  13. If inta^b(f(x)-3x)dx=a^2-b^2 then the value of f(pi/6) is

    Text Solution

    |

  14. L e tI1=int(pi/6)^(pi/3)(sinx)/x dx ,I2=int(pi/6)^(pi/3)sin(sinx)/(sin...

    Text Solution

    |

  15. The value of int0^1e^(x^2-x)dx is (a)<1 (b) >1 (c) > e^(-1/4) ...

    Text Solution

    |

  16. Evaluate: int0^(1)x(dx)/(sqrt(1-x^(2)))

    Text Solution

    |

  17. The value of the definite integral int(0)^(1)(1+e^(-x^(2))) dx is

    Text Solution

    |

  18. Prove that 0 lt int0^1(x^7dx)/((1+x^8)^(1/3)) lt 1/8

    Text Solution

    |

  19. Let a , b , c be nonzero real numbers such that int0^1(1+cos^8x)(a x^2...

    Text Solution

    |

  20. Let f(x) be a continuous and differentiable function such that f(x)=...

    Text Solution

    |