What is the integral of pisin((pit)/7)+1 ?

The integral of pisin((pit)/7)+1 is -7cos((pit)/7)+t+C

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integral of pisin((pit)/7)+1

\int π sin (\frac{π t}{7}) + 1 d t

- 7 cos (\frac{π t}{7}) + t + C

Solution steps

\int π sin (\frac{π t}{7}) + 1 d t

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int π sin (\frac{π t}{7}) d t + \int 1 d t

\int π sin (\frac{π t}{7}) d t = - 7 cos (\frac{π t}{7})

\int 1 d t = t

= - 7 cos (\frac{π t}{7}) + t

Add a constant to the solution

= - 7 cos (\frac{π t}{7}) + t + C

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What is the integral of pisin((pit)/7)+1 ?
The integral of pisin((pit)/7)+1 is -7cos((pit)/7)+t+C