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\displaystyle\sf\int(5√(9x + 2))dx

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\\ \rm\rightarrowtail {\displaystyle{\int}}(5√(9x+2))DX


\\ \rm\rightarrowtail {\displaystyle{\int}}5 dx* {\displaystyle{\int}}(9x+2)^{(1)/(2)}dx


\boxed{\sf {\displaystyle{\int}}x^n=(x^(n+1))/(n+1)}


\\ \rm\rightarrowtail 5x\left(\frac{(9x+2)^{(1)/(2)+1}}{(1)/(2)+1}\right)


\\ \rm\rightarrowtail 5x\left(\frac{(9x+2)^{(3)/(2)}}{3/2}\right)


\\ \rm\rightarrowtail \frac{10x(9x+2)^{(3)/(2)}}{3}

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