INTEGRALS INVOLVING QUADRATIC EXPRESSIONS

(1)  Evaluate the following with respect to "x".

(2x - 3) / (x2 + 4x - 12)      Solution

(2)  Evaluate the following with respect to "x".

(5x - 2) / (2 + 2x + x2)    Solution

(3)  Evaluate the following with respect to "x".

(3x + 1) / (2x2 - 2x + 3)    Solution

(4)  Evaluate the following with respect to "x".

(2x + 1) / √(9 + 4x - x2)      Solution

(5)  Evaluate the following with respect to "x".

(x + 2) / √(x2 - 1)        Solution

(6)  Evaluate the following with respect to "x".

(2x + 3) / √(x+ 4x + 1)       Solution

Integration with Quadratic Expression in Square Root

(1)  Evaluate the following with respect to "x".

 √(x2 + 2x + 10)          Solution

(2)  Evaluate the following with respect to "x".

 √(x2 - 2x - 3)         Solution

(3)  Evaluate the following with respect to "x".

 √(6 - x)(x - 4)         Solution

(4)  Evaluate the following with respect to "x".

 √[9 - (2x + 5)2]         Solution

(5)  Evaluate the following with respect to "x".

 √[81 + (2x + 1)2]            Solution

(6)  Evaluate the following with respect to "x".

 √[(x + 1)2 - 4]         Solution

Integrals with Quadratic Expression in Denominator

(1)  Integrate the following with respect to x:

1/[(x + 1)2 - 25]            Solution

(2)  Integrate the following with respect to x:

1/(x2 + 4x + 2)           Solution

(3)  Integrate the following with respect to x:

1/√((2+x)2 - 1)           Solution

(4)  Integrate the following with respect to x:

1/(x2 - 4x + 5)           Solution

(5)  Integrate the following with respect to x:

1/√(9 + 8x - x2)           Solution

(6)  Integrate the following with respect to x:

1/[(x + 1)2 - 25]        Solution

(7)  Integrate the following with respect to x:

1/(x2 + 4x + 2)        Solution

(8)  Integrate the following with respect to x:

1/√((2+x)2 - 1)        Solution

(9)  Integrate the following with respect to x:

1/(x2 - 4x + 5)        Solution

(10)  Integrate the following with respect to x:

1/√(9 + 8x - x2)        Solution

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