integral calculus: determine the length of the arc of the curve y=e^x from x=0 to x=1?

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

integral calculus: determine the length of the arc of the curve y=e^x from x=0 to x=1?

Mathematics
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

L = ∫ sqrt(1 + (dy/dx)^2) dx
i dont get it maam
do you know what dy/dx means ?

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

yes its the derivative
ok well as you can see the formula needs you to calculate that
To find length of arc, you use this: \[\int\sqrt{1+\left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2}\mathrm dx\] Here, we have \(y = e^x\) Obviously, \(\dfrac{\mathrm dy}{\mathrm dx} = e^x\) So you have to evaluate \[\int\sqrt{1+\left(e^x\right)^2}\mathrm dx = \int\sqrt{1+e^{2x}}\mathrm dx \]
thanks sir
thanks for the clearer explanation @geerky42

Not the answer you are looking for?

Search for more explanations.

Ask your own question