Integrals using U sub. Please show steps so I can learn too :)

Step-by-step explanation:

For this question, set u = arctan(x).  This would be the easiest way because the derivative of arctan(x) is which is what we have.  Before setting u, always look at the question and think about possible derivatives.

Next, plug in u and du.

(rearranging)

Substitute arctan(x) back in for u and add +C.

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold