Question

how to solve this math question?!

Answer 1

Do you have any ideas?

Answer 2

i think i should calculate the first numbers like 1,2,3,..,10

Answer 3

the question gives u r'(x) but you need r(x) so take integral of both side

Answer 4

right side of the equation becomes integration by parts
then sat ln(x+1)=u x+1=dv
1/x+1=du and x^2/2+x=v

Answer 5

uv-int(vdu) calculate this

Answer 6

is the answer like this \[14(𝑥+1)2(2\ln(𝑥+1)−1)+C\] and how to calculate the first 10 numbers ?@kagıtucak