Question

dx/x raiz de 4x²+x-3 integral

Answer 1

f'(x) = $\sqrt{4x^2 + x - 3} = \sqrt{4x^2} + \sqrt{x} - \sqrt{3}$

f(x) = $4x + x^\frac{3}{2} + 3^ \frac{3}{2}$ + C

f(x) = $\frac{4 x^{2} }{2}$ + $\frac{ x^{ \frac{3}{2} } }{ \frac{3}{2} }$ - $\frac{ 3^{ \frac{3}{2} } }{ \frac{3}{2} }$ + C

f(x) = $2x^{2}$ + $\frac{2}{3} * x^{ \frac{3}{2} }$ - $\frac{2}{3} * 3^{ \frac{3}{2} } + C$

f(x) = $2 x^{2} + \frac{2 x^{ \frac{3}{2} } }{3} - 2^{ \frac{3}{2} } + C$