Question

`\displaystyle\sf\int(5√(9x + 2))dx`​

Answer 1

`\\ \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}`