Integral of 11 with respect to uu

The calculator will find the integral/antiderivative of 11 with respect to uu, with steps shown.

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Your Input

Find 1du\int 1\, du.

Solution

Apply the constant rule cdu=cu\int c\, du = c u with c=1c=1:

1du=u{\color{red}{\int{1 d u}}} = {\color{red}{u}}

Therefore,

1du=u\int{1 d u} = u

Add the constant of integration:

1du=u+C\int{1 d u} = u+C

Answer: 1du=u+C\int{1 d u}=u+C