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CBSE Class 12 Math 2011 Solved Paper

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Question : 7 of 29
Marks: +1, -0
Write the value of ∫ dxx2+16\frac{dx}{x^2+16}
Solution:  
∫ dxx2+16\frac{dx}{x^2+16}
= ∫ dx(x)2+(4)2\frac{dx}{(x)^2+(4)^2}
= 14tan⁡−1(x4)\frac{1}{4} \tan^{-1}\left(\frac{x}{4}\right) + c , where c is a constant
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