Integrate the following functions- -4 x-1-2 x2-x-3 d x

Let 2x^2 +x 3 =t ⇒ 4x+1 =dt/dx⇒ dx =dt/4x+1 ∴∫4x+1/√(2x^2+x 3)dx =∫4x+1/√(t)×dt/4x+1=∫1/√(t)dt =2 √(t)+C =2 √(2x^2+x 3)+C (∵ t=2x^2+x 3) ...

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Integration Using Substitution

Integrate the...

Question

Integrate the following functions.
$\int \frac{4 x + 1}{\sqrt{2 x^{2} + x - 3}} d x .$

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