Maths: Integral Calculus: Indefinite Integrals: Methods of integration: Some special types of Integrals: Type VII : Exercise and Example Solved Problems with Answer, Solution

Some special types of Integrals

Type: VII

To evaluate the integrals of the form and first we have to express* ax*2* *+* bx *+* c *as the sum or difference of two square terms [completing the squares], that is ( *x* + *α* )2 + *β*2 (*or*) ( *x* + *α* )2 − *β*2 (*or*) 2 − ( *x* + *α*)2 and apply the suitable formula from the formulae given below.

Example

Exercise 2.7

Integrate the following with respect to *x*

*Answers:*

Tags : Exercise and Example Solved Problems with Answer, Solution | Methods of integration , 12th Business Maths and Statistics : Chapter 2 : Integral Calculus - I

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12th Business Maths and Statistics : Chapter 2 : Integral Calculus - I : Some special types of Integrals Method | Exercise and Example Solved Problems with Answer, Solution | Methods of integration

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