x#4 g(x) Find the area of the region enclosed between f(x) = 0.9x² + 6, g(x) = x, x = -7, and x = 4 Area =

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: Sy 5x – 10 Find the region with points that satisfy both inequalities.

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A: The objective of the question is determine the Integration of Rational Functions.

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A: Given; I=∫2x3-16x2-39x+8x2-8x-20dx We know that; The Power rule: ∫xndx=xn+1n+1+C And…

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A: In the question we have to calculate the integration of the given function.

Q: 1 6. f (x) = ;x² + 2x 1 6. f (x) = + 2x - 3 Opens up/down: Vertex: Axis of symmetry: Solution(s):…

A: To find the given:

Q: Integrating with repeated linear factors Evaluate f (x) dr, where 5x² – 3x + 2 f(x) x – 2x?

A: f(x)=5x2-3x+2x3-2x2   To find: ∫f(x) dx [By partial fractions]

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Q: 4. Y = x° +1 the x-axis and the limits x=0 and x=3.

A: To find the area under the curve, use the formula, A=∫abydx and substitute y with x3+1 and the upper…

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: Using integration by partial fractions the integral / 2r²+6x – 1 x3+x2+x -dx is equivalent to Bx +C…

A: We will solve using partial fractions.

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A: Given are the functions f(x) = −3x4 + 7 g(x) = −x2 + 2 The objective is to graph the region in the…

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A: We have to Sketch the both region on the graph

Q: 3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm.…

A: a)Area of the box (A)=x.x+2xh+2xhA=x2+4xh75=x2+4xh  [Since A=75 cm2]75-x2=4xhh=14x75-x2Volume of the…

Q: tch the graph of the function. x^3-x^2                 Find the area of the region bounded by the…

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Q: anUNIVE Q3) Find the integration: - (x+1)vx2+2x

A: As you have asked multiple questions so I have answered only first question as per the…

Q: x=8 (x) x+5 g(x) Find the area of the region enclosed between f(x) = 0.7x² + 10, g(x) = x, x = -5,…

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [−1,…

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Q: 2. f (x) = x² 2. f (x) = x² 12 Opens up/down: 11 10 Vertex: Axis of symmetry: Solution(s): y-int:…

A: the given figure is: we have to fill in the blanks:

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A: I am attaching image so that you understand each and every step.

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A: The given function is 9-x25 x3+x i.e. 9-x2x(5 x2+1) We have to find the indefinite integral using…

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A: This image contains multiple questions. As per the answering guidelines we are supposed to answer…

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A: Given  integration is  ∫x2+60x+60x3-4xdx Now integrate the given integration :…

Q: Solve for the area of the region bounded by the functions.

A: Given:(4x-(-12))2 + 5y-72 < 72                     (1)(x-(-3))2742 + (y-(75))2752<12…

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.