Integral of

Question

(2x+1)^2/(3x+4)^4?

Answer 1

Linear factors : For each factor of the form (px + q )^m, The partial fraction decomposition must include the following sum of m fractions.

  .

To find the , first decompose the improper fraction  into partial fractions.

To solve for , let  .

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To solve for , let  .

Substitute the value .

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To solve for , let  .

Substitute the values and .

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Answer 2

Contd....

Let, u = 3x + 4, du = 3 dx.

Put, u = 3x + 4.

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Answer 3

Contd..............

To solve for , let  .

Substitute the values ,   and .

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