Question

please answer it quikly very urgent​

Answer 1

$\maltese\:\underline{\sf AnsWer :} \:\maltese$

$\dashrightarrow\:\:\sf y = 3x^2$

$\dashrightarrow \: \: \displaystyle I = \sf\int {3x}^{2} \, dx$

$\dashrightarrow \: \: \displaystyle \red{\rm Rule} = \gray{\sf\int {x}^{n} \, dx = \dfrac{ {x}^{n + 1} }{n + 1} + C}$

$\dashrightarrow \: \: \displaystyle I = \sf \dfrac{{3x}^{2 + 1}}{2 + 1} + C$

$\dashrightarrow \: \: \displaystyle I = \sf \dfrac{{3x}^{3}}{3} + C$

$\dashrightarrow \: \: \underline{ \boxed{ \displaystyle I = \sf {x}^{3} + C }}$

$\therefore\:\underline{\textsf{The correct answer is Option 4) \textbf{x ^\text3 + C}}}.$