Disc and washer method for volume of revolution (rotated about different axis and lines)
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3 سال پیش
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Disc and washer method for
Disc and washer method for the volume of solid of revolution! We will do 6 typical calculus 1 homework problems in this calculus tutorial. Remember the formula for the volume of a disc is pi*r^2*thickness. Here the thickness would be either dx or dy. Definitely draw the graph of the functions to see the area of the region to help you find the volume after the revolution. We will rotate the region about different lines. This calculus tutorial will help you if you are taking calculus 1 or ap calculus AB.
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For shell method, please see 👉 Shell method for volume of revolution...
0:00 y=sqrt(x-1), rotated about the x-axis
1:31 y=x^3, y=x, rotated about the x-axis
5:37 x=y^2, x=2y, rotated about the y-axis
9:58 y=x^2, x=y^2, rotated about y=1
15:11 y=1+sec(x) and y=3, rotated about y=1
22:22 y=x^3, rotated about x=2
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"Just Calculus" is dedicated to helping students who are taking precalculus, AP calculus, GCSE, A-Level, year 12 maths, college calculus, or high school calculus. Topics include functions, limits, indeterminate forms, derivatives, and their applications, integration techniques and their applications, separable differential equations, sequences, series convergence test, power series a lot more. Feel free to leave calculus questions in the comment section and subscribe for future videos 👉 https://bit.ly/just_calc
---------------------------------------------------------
Best wishes to you,
#justcalculus
Subscribe for more calculus tutorials 👉 https://bit.ly/just_calc
For shell method, please see 👉 Shell method for volume of revolution...
0:00 y=sqrt(x-1), rotated about the x-axis
1:31 y=x^3, y=x, rotated about the x-axis
5:37 x=y^2, x=2y, rotated about the y-axis
9:58 y=x^2, x=y^2, rotated about y=1
15:11 y=1+sec(x) and y=3, rotated about y=1
22:22 y=x^3, rotated about x=2
---------------------------------------------------------
If you find this channel helpful and want to support it, then you can
join the channel membership and have your name in the video descriptions:
👉https://bit.ly/joinjustcalculus
buy a math shirt or a hoodie (10% off with the code "WELCOME10"):
👉 https://bit.ly/bprp_merch
"Just Calculus" is dedicated to helping students who are taking precalculus, AP calculus, GCSE, A-Level, year 12 maths, college calculus, or high school calculus. Topics include functions, limits, indeterminate forms, derivatives, and their applications, integration techniques and their applications, separable differential equations, sequences, series convergence test, power series a lot more. Feel free to leave calculus questions in the comment section and subscribe for future videos 👉 https://bit.ly/just_calc
---------------------------------------------------------
Best wishes to you,
#justcalculus
3 سال پیش
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