Question

Evaluate the following integrals: a.) Find the area enclosed by y = (ln(x))/ (x^2) and y...

Evaluate the following integrals:

a.) Find the area enclosed by y = (ln(x))/ (x^2) and y = (ln(x))^2/x2 ;

b.) Find the volume of the solid formed by revolving the region under y = e^ 3x for 0 ≤ x ≤ 3 about the y -axis.

Homework Answers

Answer #1

Hello

PFA

Hope this helps you.

Regards

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1- Find the area enclosed by the given curves. Find the area of the region in...
1- Find the area enclosed by the given curves. Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the line   above left by y = x + 4, and above right by y = - x 2 + 10. 2- Find the area enclosed by the given curves. Find the area of the "triangular" region in the first quadrant that is bounded above by the curve  , below by the curve y...
1. Find the area of the region enclosed between y=4sin(x) and y=4cos⁡(x) from x=0 to x=0.5π...
1. Find the area of the region enclosed between y=4sin(x) and y=4cos⁡(x) from x=0 to x=0.5π 2. Find the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0, y=8+x^5 about the x-axis. 3. Find the volume of the solid obtained by rotating the region bounded by y=x^2, y=1. about the line y=7.
there are 5 parts to this question 1.Find the area of the region R enclosed by...
there are 5 parts to this question 1.Find the area of the region R enclosed by the graphs of y = x 2 , the y-axis and the line y = 4 2.Find the volume of the solid generated by revolving the region in problem 1 about the x-axis. 3.Use the cylindrical shell method to find the volume of the solid generated by revolving the region in problem 1 about the y-axis. 4.Find the volume of the solid generated by...
1) Find the volume of the solid formed by rotating the region enclosed by y=e^(5x)+2, y=0,...
1) Find the volume of the solid formed by rotating the region enclosed by y=e^(5x)+2, y=0, x=0, x=0.4 about the x-axis. 2) Use the Method of Midpoint Rectangles (do NOT use the integral or antiderivative) to approximate the area under the curve f(x)=x^2+3x+4 from x=5 to x=15. Use n=5 rectangles to find your approximation.
Consider the region S enclosed by the graphs of y=x^3-6^2+9x and y=x/2 . Determine which solid...
Consider the region S enclosed by the graphs of y=x^3-6^2+9x and y=x/2 . Determine which solid has the greater volume, and by how much: (a) The solid generated by revolving S about the x-axis; (b) The solid generated by revolving S about the line y=4.
Find the volume of the solid formed by rotating the region enclosed by x=0,x=1,y=0,y=4+x^6 about the...
Find the volume of the solid formed by rotating the region enclosed by x=0,x=1,y=0,y=4+x^6 about the y-axis. Volume =
Find the volume of the solid formed by rotating the region enclosed by y=e^2x +5 ,...
Find the volume of the solid formed by rotating the region enclosed by y=e^2x +5 , y=0, x=0, x=1, about the x axis.
Let R be the region in enclosed by y=1/x, y=2, and x=3. a) Compute the volume...
Let R be the region in enclosed by y=1/x, y=2, and x=3. a) Compute the volume of the solid by rotating R about the x-axis. Use disk/washer method. b) Give the definite integral to compute the area of the solid by rotating R about the y-axis. Use shell method.  Do not evaluate the integral.
1.Find the area of the region between the curves y= x(1-x) and y =2 from x=0...
1.Find the area of the region between the curves y= x(1-x) and y =2 from x=0 and x=1. 2.Find the area of the region enclosed by the curves y=x2 - 6 and y=3 between their interaction.   3.Find the area of the region bounded by the curves y=x3 and y=x2 between their interaction. 4. Find the area of the region bounded by y= 3/x2 , y= 3/8x, and y=3x, for x greater than or equals≥0.
Calculate the volume generated by rotating the region enclosed by the curves y = ln x,...
Calculate the volume generated by rotating the region enclosed by the curves y = ln x, y = 0, and x = 2 about the x-axis. Show all of your work.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT