Question

The length of the arc formed by the curve y = 7x^4 + 8x^8 between the points (3, 53055) and (8, 134246400) is represented by the integral where, a = ? and b = ? and f (x) = ?

Answer 1

I like this question. :)

Answer 2

It's tough I do not know where to start :(

Answer 3

first you must get dy/dx

Answer 4

Can you show me

Answer 5

\[28x ^{3}+64x ^{7}\]

Answer 6

derivative the given function with respect to x. You should arrive to that answer.

Answer 7

ok

Answer 8

then here's the equation
\[\int\limits_{3}^{8}\sqrt{1+(28x ^{3}+64x ^{7})^{2}}dx\]

Answer 9

now what integrate

Answer 10

can you do that step by step

Answer 11

here comes the hard part. Can't we just arrive to the answer? :P Let me think.

Answer 12

I figured it out man its a = 3 and b = 8

Answer 13

f(x) = sqrt(1+ ( 28x^3+64x^7)^2)

Answer 14

ya, you got it? cool. :)

Answer 15

ok no problem