RNcyx
Answered

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[tex]\displaystyle\sf\int(5\sqrt{9x + 2})dx[/tex]​

Sagot :

[tex]\\ \rm\rightarrowtail {\displaystyle{\int}}(5\sqrt{9x+2})DX[/tex]

[tex]\\ \rm\rightarrowtail {\displaystyle{\int}}5 dx\times {\displaystyle{\int}}(9x+2)^{\dfrac{1}{2}}dx[/tex]

[tex]\boxed{\sf {\displaystyle{\int}}x^n=\dfrac{x^{n+1}}{n+1}}[/tex]

[tex]\\ \rm\rightarrowtail 5x\left(\dfrac{(9x+2)^{\dfrac{1}{2}+1}}{\dfrac{1}{2}+1}\right)[/tex]

[tex]\\ \rm\rightarrowtail 5x\left(\dfrac{(9x+2)^{\dfrac{3}{2}}}{3/2}\right)[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{10x(9x+2)^{\dfrac{3}{2}}}{3}[/tex]

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