Question

find solution for this quickly
find dx
this question is from class11​

Answer 1

Answer:

integral calculus right

Answer 2

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$1) \\ \displaystyle \int \: 1 \: dx \\ = x + c \\ \\ 2) \\ \displaystyle \int \: x \: dx \\ = \frac{ {x}^{2} }{2} + c \\ \\ 3) \\ \displaystyle \int \: {x}^{2} \: dx \\ = \frac{ {x}^{3} }{3} + c \\ \\ 4) \\ \displaystyle \int \: \frac{1}{ {x}^{2} } \: dx \\ = \int \: {x}^{ - 2} \: dx \\ = \frac{ {x}^{ - 1} }{ - 1} + c \\ = - \frac{1}{x} + c$

Note:

$\displaystyle \int \: {x}^{n} \: dx \\ = \frac{ {x}^{n + 1} }{n + 1} + c$