Home
Class 12
MATHS
Evaluate the following integrals: inte...

Evaluate the following integrals:
`inte^(sinx)sin2xdx`

Text Solution

Verified by Experts

The correct Answer is:
`2e^(sinx)(sinx-1)+C`
`I=2inte^(sinx)sinxcosxdx=2intte^(t)`, where sinx=t.
Promotional Banner

Topper's Solved these Questions

  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise Objective Questions Ii|56 Videos

  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise Exercise 13B|34 Videos

  • MATRICES

    RS AGGARWAL|Exercise Exercise 5F|21 Videos

  • PROBABILITY

    RS AGGARWAL|Exercise Exercise 29 B|2 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integrals: int (sinx)/(sin2x)dx

Evaluate the following integrals: inte^(3x)sin4xdx

Evaluate the following integrals: inte^(x)cos2xcos4xdx

Evaluate the following integrals: intx^(2)sin^(2)xdx

Evaluate the following integral: int_0^pi(sinx)/(sinx+cosx)dx

Evaluate the following integrals: int(1+sinx)/(sin x(1+cosx))dx

Evaluate the following integral "int sin^(5)xdx

Evaluate the following integrals. int sin^(5)xdx

int sin2xdx

Evaluate the following integrals: int(dx)/((2sinx+cosx+3))

RS AGGARWAL-METHODS OF INTEGRATION -Exercise 13C
  1. Evaluate the following integrals: inte^(x)cos2xcos4xdx

    Text Solution

    |

  2. Evaluate the following integrals: inte^(sqrt(x))dx

    Text Solution

    |

  3. Evaluate the following integrals: inte^(sinx)sin2xdx

    Text Solution

    |

  4. Evaluate the following integrals: int(xsin^(-1)x)/(sqrt(1-x^(2)))dx

    Text Solution

    |

  5. Evaluate the following integrals: int(x^(2)tan^(-1)x)/((1+x^(2)))dx

    Text Solution

    |

  6. Evaluate the following integrals: int(log(x+2))/((x+2)^(2))dx

    Text Solution

    |

  7. Evaluate the following integrals: intxsin^(-1)xdx

    Text Solution

    |

  8. Evaluate the following integrals: intxcos^(-1)xdx

    Text Solution

    |

  9. Evaluate the following integrals: intcot^(-1)xdx

    Text Solution

    |

  10. Evaluate the following integrals: intxcot^(-1)xdx

    Text Solution

    |

  11. Evaluate the following integrals: intx^(2)cot^(-1)xdx

    Text Solution

    |

  12. Evaluate the following integrals: intsin^(-1)sqrt(x)dx

    Text Solution

    |

  13. Evaluate the following integrals: intcos^(-1)sqrt(x)dx

    Text Solution

    |

  14. Evaluate the following integrals: intcos^(-1)(4x^(3)-3x)dx

    Text Solution

    |

  15. Evaluate the following integrals: intcos^(-1)((1-x^(2))/(1+x^(2)))dx

    Text Solution

    |

  16. Evaluate the following integrals: inttan^(-1)((2x)/(1-x^(2)))dx

    Text Solution

    |

  17. Evaluate the following integrals: inttan^(-1)((3x-x^(3))/(1-3x^(2)))...

    Text Solution

    |

  18. Evaluate the following integrals: int(sin^(-1)x)/(x^(2))dx

    Text Solution

    |

  19. Evaluate the following integrals: int(tanxsec^(2)x)/((1-tan^(2)x))dx

    Text Solution

    |

  20. Evaluate the following integrals: inte^(3x)sin4xdx

    Text Solution

    |