Q: Find 1- y dy y+2 using the substitutionu +5= √√y+2.
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Q: The most convenient way to evaluate A True B False S 2x-3 x²-3x+5 -dx is use Integration by Parts.
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Q: S- Find y dy Vy+2 using the substitution u +5=√√x+2. A ²/ (√x+2-5) (-5√/y+2+y+21)+C ℗ ²/(√√y+2-5)…
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Q: I 5л Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=— tox=³ 3.667 square…
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Q: ·S- A 4u B [4-(2u²) ² C) -du V 4u Ⓒ* D -du 4 For x 1/2 -dx and using the substitution u=x1/2, the…
A: We have to solve above integral
Q: What is the solution to the differential equation 2√√ay- da Oy = ( ² √₂-2) ? 3 Oy=(2²√x - 2) ³ 1 =…
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Q: | 5 dx Evaluate: (x-3)² (Α) - 1 B) ∞o (does not exist) C) I D 0 (E) None
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Q: 14. sec xdx 2 3/2 (1 – 4 tan x)³/²
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Q: Find the area bounded by the curve y=- 16 (A) 16 square units B) 10 square units 8 square units D 4…
A: If y=f(x) and y=g(x) are two continuous function on a,b and f(x)≥g(x) on a,b , then area bounded by…
Q: S cose de 1-sine sece tane de sece - 1 The integral fo fse Si x dx x²+√√√x²−1−1 sino de 1+ cose…
A: we have to above integration
Q: Question 11 Evaluate €S= A B C D 3x5 3x4+6x³-3x² - 6x x²-2x-In x² - 4x 2 x² - 2x 2 x² - 4x + In +…
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Q: 1. Find the limit, if it exists.If the limit does not exist, explain why. (a) lim √√²+1²+1+3z² z²+1…
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Q: 13. - (In t ² )º t dt
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Q: 8. 5 cos²x - 3tan x COS X dx
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Q: Evaluate sin (Inx n(Inx) dx xsin (Inx) + xcos (Inx) - [sin (In x) dx+C _xsin (Inx) – xcos (lnx) –…
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Q: 5. 4 f sin + 2zdz
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Q: Evaluate A B D Stan" (x) sec¹x dx. 1 (m+1 ¹) (x) + m+1 1 )(x) + m+3 2) (x) + m+2 -¹)(x) – m+1 tan…
A: We will evaluate the given integral by using substitution method as shown below
Q: Exercises To Solve 3-2x-x²
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Q: = 2x tan
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Q: Evaluate tan" (x) sec¹x dx. 1 1 (A) -tan (m+2)(x) +· ¹tan" (x) + C - m+2 m 1 1 (в -tan (m+3)(x) +…
A: On solving this we will get Option (B) is correct
Q: Lemma*: If z(x, y) = W+H, then xZx + y2y = (xWx+yWy) + (xHx + yHy).
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Q: Evaluate sin (Inx) dx. Integration by parts will be used repeatedly. What is the expression after…
A: we have to find the solution
Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)2=2y, the…
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Q: -S- A Ⓡ / T B C S (D) S- For x1/2 dx and using the substitution u=x¹ x1/2, the resulting integral…
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Q: Evaluate fsin( sin (Inx) dx Integration by parts will be used repeatedly. What is the expression…
A: We have to find solutions
Q: Consider ∫ x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)?
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Q: b The volume of the solid generated by revolving the region bounded by x2-4y and y2-4x about y = 4…
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Q: Inx Complete the following table to evaluate the limit lim X-400 √x Step Explain the step In x lim…
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Q: S= Evaluate Ox² - 4x 2 Ox²–2x 2 O x² - 2x - In x² - 4x 2 3x5 3x4+6x + In 3x² - 6x - (x-1) 1/6(x+2)…
A: Explained below
Q: exdx 4-ex
A: We can find the integration as below.
Q: Moving to another question will save this response. 3x5 ·S. 3x4+6r3-3x2 - 6x 0 5 06 O 17/6 A Moving…
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Q: Water is flowing into a conical cistern at the rate if 8 cubic m/min. If the height of the inverted…
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Q: An inverted pyramid is being filled with water at a constant rate of 50 cubic centimeters per…
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Q: = fx²coss x²cosx dx- use integration by parts. What is the expression after the second integration…
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Q: 50 50 [ ³0 (ax³ + bx² + cx) dx = 2b [³ -50 (A) True (B) False x²dx
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Q: (e) x = = 2y², x = 4 + y² - (f) x = 1 — y², x = y² – 1 32 Answers (a), (b), (c) In 2-1, (d), (e)…
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Q: Question 15 Find the area bounded by the curve y = -x 16 A 8 square units B 16 square units C10…
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Q: π Find the area bounded by the trigonometric curves y = sinx and y=cosx" from X=- 3.459 square units…
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Q: A balloon is released from the ground 100 meters from an observer. The balloon rises directly upward…
A: We have to choose to correct option
Q: If a particle moves on a straight line so that s = et (cost – sint) . Which expression can be used…
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Q: dx can be transformed to which of the following when trigonometric substitution is used? (x²+4)²…
A: Integration by Trigonometric substitution.
Q: What is the dy/dx of y = 3sin²x cos x ? O 3 sin x(sin²x - 2cos²x) O-3 sin x(sin²x - 2cos²x) O 3 sin…
A: Given: y=3sin2xcosx To find: dydx We know that ddxcosx = -sinx ; ddxsinx = cosx
Q: (cos-¹2w) 6. ¡ COS dw √1-4w²
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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by , the x-axis, and…
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Q: Find the area bounded by the curve 4 square units O 16 square units O 8 square units 10 square units…
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Q: What is the value of f(1)-16B in [x³ Inx dx = f(x) ((1/4) Inx-B) + C?
A: Please follow the next step.
Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4 is to…
A: We need to choose correct option.
Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…
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Q: (D³ - 2D + 4)y=0; y = -2, Dy = 8, D²y = 0, when x = 0.
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Q: If •S" (x + 5) dx = 14, then the value of b is equal to A) None B 2 C 4 D -3 (E) 3
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