Question

calculus 2 - antiderivatives

Answer 1

take integral the right hand side, what do you have?

Answer 2

5x^3 + 2x^2

Answer 3

+C

Answer 4

That is y(x) = 5x^3 +2x^2 +C
now replace x = 0
y(0) = ??

Answer 5

C

Answer 6

Oh sorry, your initial value is y(2) not y(0)
redo, replace x =2 to get C , C =?

Answer 7

48

Answer 8

y(2) = 5*2^3+2*2^2 +C = 51
40 + 8 +C = 51
C = 51-48 = 3
Am I right?

Answer 9

yea

Answer 10

so, at the end, you have y = 5x^3 +2x^2 +3 , just fill in the blanks to get credit

Answer 11

thank you

Answer 12

np