Home
Class 12
MATHS
Integrate : int (8^(2+x)+2)/(2^(x+3)) ...

Integrate :
`int (8^(2+x)+2)/(2^(x+3)) dx `

Text Solution

Verified by Experts

The correct Answer is:
`1/(log_(e)2) [ 4.2 ^(2x) -1/4 .2^(-x)]+c`
Promotional Banner

Topper's Solved these Questions

  • IDENFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|15 Videos

  • IDENFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Multiple Correct Answer Type)|5 Videos

  • IDENFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise Very short Answer Type Questions|36 Videos

  • GENERAL SOLUTIONS OF TRIGNOMETRIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type-|2 Videos

  • INCREASING AND DECREASING FUNCTION

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Integrate : int 5^(2x)dx

Integrate : int (2^(6x)-1)/(2^(2x)-1)dx

Integrate : int xsec^(2)x dx

Integrate : int log x^(2)dx

Integrate : int x^(2)10^(2x)dx

Integrate : int x^(3)e^(ax)dx

Integrate : int (e^(x)(x-4)dx)/((x-2)^(3))

Integrate : int e^(2x) cos3x dx

Integrate : int x^(2)e^(ax)dx .

Integrate : int(log(1-x))/(x^(2))dx

CHHAYA PUBLICATION-IDENFINITE INTEGRAL -Short Answer Type Questions
  1. Evaluate : int (e^(6log x)- e^(4logx))/(e^(3logx)- e^(log x))dx

    Text Solution

    |

  2. Evaluate : int (e^(2x-1)-e^(1-2x))/(e^(x+2)) dx

    Text Solution

    |

  3. Integrate : int (8^(2+x)+2)/(2^(x+3)) dx

    Text Solution

    |

  4. Integrate : int ((27)^(1+x) + 9^(1-x))/(3^(x)) dx

    Text Solution

    |

  5. Integrate : int (2^(6x)-1)/(2^(2x)-1)dx

    Text Solution

    |

  6. Evaluate the following integrals : int cos^(3) x dx

    Text Solution

    |

  7. Evaluate the following integrals : int sin^(4) x dx

    Text Solution

    |

  8. Evaluate the following integrals : int cos^(4) x dx

    Text Solution

    |

  9. Evaluate the following integrals : int (cos x + sin x )/(cos x - s...

    Text Solution

    |

  10. Evaluate the following integrals : int (2 -3 sin x )/(cos^(2) x) ...

    Text Solution

    |

  11. Evaluate the following integrals : int (sin^(3) x + cos^(3) x )/(s...

    Text Solution

    |

  12. Evaluate the following integrals : int (1+cos x)/(1- cos x ) dx

    Text Solution

    |

  13. Evaluate the following integrals : int ( sin theta + cos theta )/...

    Text Solution

    |

  14. Evaluate the following integrals : int (cos^(3) theta - 3 cos thet...

    Text Solution

    |

  15. Evaluate the following integrals : int (dx)/(sin^(2)x cos^(2) x )

    Text Solution

    |

  16. Evaluate the following integrals : int (a sin^(3)x+bcos^(3)x)/(sin...

    Text Solution

    |

  17. Evaluate the following integrals : int (cos^(2) x - sin^(2) x)/(sq...

    Text Solution

    |

  18. Evaluate the following integrals : int tan^(-1) ((sinx)/(1- cos x...

    Text Solution

    |

  19. Show that : int sqrt (1+ cos x ) dx = 2 sqrt(2) sin. x/2 + c

    Text Solution

    |

  20. Show that : int sqrt(1 - cos 2x ) dx = - sqrt(2) cos x + c

    Text Solution

    |