Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\int\frac{2x+3}{\sqrt{x^{2}+3x-4}dx$$

Answer

2*int*x+6*x-4*d*x

Solution


Use this rule: \({\sqrt{x}}^{2}=x\).
\[int\times 2x+3x+3x-4dx\]
Regroup terms.
\[2intx+3x+3x-4dx\]
Collect like terms.
\[2intx+(3x+3x)-4dx\]
Simplify.
\[2intx+6x-4dx\]
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