1 Which of the following integrals represents the length of
1) Which of the following integrals represents the length of the curve y=2^x , 0<=x<=3 ?
a. integral from 0 to 3 of sqrt(1+ 2^x) dx
b. integral from 0 to 3 of sqrt (1+ 2^2x) dx
c. integral from 0 to 3 of sqrt (1+ ((ln2)^2)2^2)dx
d. integral from 0 to 3 of sqrt (1+ (2(ln2)^2)2^x)dx
e. integral from 0 to 3 of sqrt (1+ ((ln2)^2)2^x)dx
f. integral from 0 to 3 of sqrt (1+ ((ln2)^2)2^2x)dx
[I got e but i\'m not sure] PLEASE help!
a. integral from 0 to 3 of sqrt(1+ 2^x) dx
b. integral from 0 to 3 of sqrt (1+ 2^2x) dx
c. integral from 0 to 3 of sqrt (1+ ((ln2)^2)2^2)dx
d. integral from 0 to 3 of sqrt (1+ (2(ln2)^2)2^x)dx
e. integral from 0 to 3 of sqrt (1+ ((ln2)^2)2^x)dx
f. integral from 0 to 3 of sqrt (1+ ((ln2)^2)2^2x)dx
[I got e but i\'m not sure] PLEASE help!
Solution
c. integral from 0 to 3 of sqrt (1+ ((ln2)^2)2^2)dx