Home
Class 12
MATHS
inte^(xlna)*e^x dx...

`inte^(xlna)*e^x dx`

Text Solution

AI Generated Solution

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

int e^x sin(e^x) dx

int e^x sec e^x dx

int e^(2x)dx

Evaluate: int(x+1)+e^x\ dx

int(1)/(e^(-x)) dx

int (e^(x))/(e^(x) + e^(-x))dx

Evaluate: int(e^x+1)/(e^x+x)dx

int e^(x) sin x dx .

int e^x(3+x) dx

If a gt0 and a!=1 evaluate the following integrals: (i) int e^(xlog_(e)a)dx (ii) int e^(alog_(e)x)dx (iii) int e^x a^xdx (iv) int 2^(log_(e)x)dx

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If a is perpendicular to b and p is non-zero scalar such that pr+(r*b)...

    Text Solution

    |

  2. Evaluate: (sin^3x dx)/((cos^4x+3cos^2x+1)tan^(-1)(secx+cosx)

    Text Solution

    |

  3. inte^(xlna)*e^x dx

    Text Solution

    |

  4. If the line (x-2)/5=(y+10)/2=(z+3)/2 meets the curve x y=a^2,z=1, then...

    Text Solution

    |

  5. The value of the integral int(e^(5logx)-e^(4logx))/(e^(3logx)-e^(2logx...

    Text Solution

    |

  6. For any two vec aa n d vec b ,( vec axx hat i)dot( vec bxx hat i)+( v...

    Text Solution

    |

  7. Let vectors vec a , vec b , vec c ,a n d vec d be such that ( vec axx...

    Text Solution

    |

  8. Let vec a , vec b , vec c be the three unit vectors such that vec a+...

    Text Solution

    |

  9. int1/(1+sqrt(x))"dx" is equal to a. 2sqrt(x)+2ln|1+sqrt(x)|+c ...

    Text Solution

    |

  10. The sides of a parallelogram are 2 hat i+4 hat j-5 hat k and hat i+2 ...

    Text Solution

    |

  11. If vectors vec A B=-3 hat i+4 hat ka n d vec A C=5 hat i-2 hat j+4 ha...

    Text Solution

    |

  12. If f^(prime)(1)=-2sqrt(2)a n dg^(prime)(sqrt(2))=4 , then the derivati...

    Text Solution

    |

  13. int0^pi||sinx|-|cosx||dx is equal to (a)tan((3pi)/8) (b) tan(pi/8) ...

    Text Solution

    |

  14. Let f(x)={(sinx^2)/x x!=0 0x=0, then f^(prime)(0^+)+f^(prime)(0^-) h...

    Text Solution

    |

  15. The equation of a line 4x-4y-z+11=0=x+2y-z-1 can be put as x/2=(y-2)/1...

    Text Solution

    |

  16. If vec d= vec axx vec b+ vec bxx vec c+ vec cxx vec a is non-zero vec...

    Text Solution

    |

  17. Let u=int(0)^(1)(ln(x+1))/(x^(2)+1)dx and v=int(0)^(pi//2)ln (sin 2x)d...

    Text Solution

    |

  18. int(-1/(sqrt(3)))^(1/(sqrt(3)))(cos^(-1)((2x)/(x^2+1))+tan^(-1)((2x)/(...

    Text Solution

    |

  19. Find the integral value of n for which ("lim")(xvec0)(cos^2x-cosx-e^x...

    Text Solution

    |

  20. If y=cos^(-1)sqrt((sqrt(1+x^2+1))/(2sqrt(1+x^2))),t h e n(dy)/(dx)i s...

    Text Solution

    |