Evaluate: `intsqrt(4x^2+9)\ dx`

Explanation

Let `I=int sqrt{4 x^{2}+9} d x `
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Rightarrow I=int sqrt{4(x^{2}+frac{9}{4})} d x `
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Rightarrow I=2 int sqrt{x^{2}+(frac{3}{2})^{2}} d x`


As we know that
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int sqrt{a^{2}+x^{2}} d x=frac{x}{2} sqrt{x^{2}+a^{2}}+frac{a^{2}}{2} ln mid x+sqrt{x^{2}+a^{2} mid}+C`


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