In this article, we will discuss the solutions of Long Answer Type Questions (31-42) in the chapter *Integration By Parts* (Ex-7) as given in the Chhaya Publication Book (Class 12) of aforementioned chapter of S N De book.

##### Integration By Parts | S N Dey | Ex-7 | Long Answer Type Solution

Solution.

Hence, from we get,

Solution.

Solution.

Solution.

Hence, by we get,

Finally, by we get,

Note[*] :

Solution.

By we get,

Finally, by we get,

Note [*] :

Read More :

Sl No. | PDF | Download Link |

1 | Chhaya Math Solution of Integration By Parts | Click here |

2 | Chhaya Math Solution of Product of Two Vectors | Click here |

3 | Chhaya Math Solution of Linear Differential Equation | Click here |

Solution.

Note [*] :

Hence, by we get,

Solution.

Solution.

Solution.

Hence, by we get,

Evaluate and by integrating each of them only once by parts.

Solution.

Prove that,

Solution.