Find the surface area of revolution about the x-axis of y = 6 sin(6x) over the interval 0 < a < Question Help: D Video M Message instructor Submit Question Jump to Answer

Q: The velocity of a particle along a straight line is given by v(i)=t" – 3t and evaluate to determine…

A: Velocity of the particle is given by

Q: y = 4 cos(x), y = 8x² - 2

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Q: 8. Integrate the following definite integrals. Express answers in exact form (no decimal fractions):…

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Q: It is possible for the area between two curves to be negative. (T/F)

A: Following are the answers:

Q: Evaluate the definite integral 1 S²- VAFX Write answer as a decimal rounded to THREE places. dx.

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Q: 12. sint√/1 + cost dt

A: let  H=∫sint1+costdt

Q: (c) Find - (2x sin 2x + cos 2x) and hence evaluate J: (x cos 2x)dx dx

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Q: Calculate the value of the integral dx (22 + 1) (x² + 4)

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Q: Can you show me step-by-step  What is the area of the region between the sine curve and the x-axis…

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Q: These are the instructions below: 1. Find the area between the two curves of f(x)= 9- (x/2)^2  &…

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Q: Evaluate the integral. | tan? (3x)sec“ (3x)dx 4

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Q: Give an interval over which you could integrate to find the area of one leaf of the rose r = 2 sin…

A: r=2sin3θ

Q: 1 .2 2 dx = 0 xe 0- -

A: Given: 12π∫-∞∞xe-x22dx=0   We know that; ∫eax+bdx=eax+ba+C     Note: As per Bartleby guidelines we…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.