HSC Arts 12th Board ExamMaharashtra State Board
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Prove that Integral Sqrt(A^2 +X^2)Dx = X/2 Sqrt(A62 + X^2) + A^2/2 Log |X + Sqrt(X^2 + A^2)| + C - HSC Arts 12th Board Exam - Mathematics and Statistics

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Question

Prove that:

`int sqrt(a^2 +x^2)dx = x/2 sqrt(a^2 + x^2) + a^2/2 log |x + sqrt(x^2 + a^2)| + c`

Solution

Let I = `int sqrt(x^2 + a^2)dx`

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APPEARS IN

 2012-2013 (October) (with solutions)
Question 6.2.1 | 4.00 marks
Solution Prove that Integral Sqrt(A^2 +X^2)Dx = X/2 Sqrt(A62 + X^2) + A^2/2 Log |X + Sqrt(X^2 + A^2)| + C Concept: Methods of Integration - Integration Using Partial Fractions.
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