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Integrate (x²+1)/(x²+2)(x²+3)

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Integrate (x²+1)/(x²+2)(x²+3)

Posted by Tohid Khan 3 years, 10 months ago

CBSE > Class 12 > Mathematics

3 answers

Nivrit Raj 3 years, 10 months ago

Put y=x^2 and solve it by using integration by partial fraction

2Thank You

Mahi Kumari 3 years, 10 months ago

The Right answer of this question should be:- I = (-1/√2)tan^(-1)(x/√2)+(2/√3)tan^(-1)(x/√3)+C

1Thank You

Mahi Kumari 3 years, 10 months ago

Substitute x²=t and its derivative will be 2x=dt/dx then, put dx= dt/2x and x=√t and dx=dt/2√t. Now Solve the Required equation by the help of partial fraction. And finally integrate it!!

2Thank You

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