8. fx(1+x)²/³ d dx 2/3

Q: Sanna and Obadia argued about the definition of L e-x 1 dx - Sanna split the integral as -X e [54 dx…

A: We need to explain integral split.

Q: Question Define R as the region bounded by the functions f(x) = ez and g(x) = 1 between x = 0 and x…

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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: dx can be transformed to which of the following when trigonometric substitution is used? (x²+4)²…

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Q: (2x + 3)dx 9x²+2x+8 17. S

A: Given that…

Q: ff" (x+5) dx=14, then the value of b is equal to (A) 4 B) 3 (C) -3 (D) None

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Q: 100t Consider the population function p(t) = t+9 a. Find the instantaneous growth rate of the…

A: The given population function is pt=100tt+9.   a. The objective is to find the instantaneous growth…

Q: 12. 4 CSC X cot² x dx

A: Given problem:-

Q: find the value of k that will make the function continuous. f(x)= { 2        ,if x <-4         { -x…

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Q: ·S- For x1/2 S- S. dx and using the substitution -du U 1-u² 4u -du 4u 4- (21²) ² U -du 1-u4 -du u=x…

A: We have to solve Integral

Q: ·S Evaluate 3x5 3x4+6x³-3x² - 6x -dx, using method of partial fractions.

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2 = 2y, the…

A: We have to calculate the area of the smaller region bounded by x+52=2y from left sides,and bounded…

Q: What is the value of f(1) - 16B in [x³ Inx dx = f(x) ( (1/4) Inx - B) + C? A 3 B 2 C) 1 D) 0

A: To solve the given integral problem.

Q: QUESTION 9 Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)…

A: Please see the below picture for detailed solution.

Q: Evaluate A B e Stam" (x) sec³x dx- -tan (m+3)(x) + m+3 1 m+2 -tan (m + 2)(x) + m −tan (m + 1)(x) — —…

A: Solved below.

Q: s 3x5 3x4+6x³-3x2 - 6x Evaluate x²–2x Α) +In x² - 4x Ⓒ²-*** B + In 2 x²-2x-In x² - 4x 2 dx. using…

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Q: What is the of y = (tan-¹4x)² ? 2 - 2tan ¹4 1+16x² 1 8tan ¹4x 1+16x² 2tan-1 ¹4x 1+16x² -1 8tan ¹4x…

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Q: Which of the following statements is NOT true about the derivative of the function? The derivative…

A: The geometrical meaning of derivative is , the slope of the line segment tangent to the function…

Q: S²- 16-x2 A 2 B) 8 0 None 4 E dx is equal to

A: I am attaching image so that you understand each and every step. Option "C" is correct answer.

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: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)2=2y, the…

A: Please see the below picture for detailed solution.

Q: 24) + C

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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: Find the are bounded by the trigonometric curves y=sinx and y=cosx from x = pi/4 to x = 5pi/4

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Q: Evaluate Ss sin (Inx) dx. Integration by parts will be used repeatedly. What is the expression after…

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Q: Question 3 Evaluate sin (Inx) dx Integration by parts will be used repeatedly. What is the…

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Q: Find the area bounded by the trigonometric curves 5ñ to - 4 3.667 square units 3.459 square units…

A: topic- area bounded by curves

Q: Question 13 Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) +…

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Q: valuate A B C (D) Stan" (x tan" (x) sec4x dx. 1 -tan (m + 3)(x) +_¹__tan -tan (m + ¹)(x) + C 1) m+3…

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Q: Equation xdy + ydx = 0 y"-3y" + 3y + y = 0 (y)¹/² = √/(1+y")4 Order Degree Kind IV DV

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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: 3x5 ·S -dx- Using the method of partial fractions, the given integral can be written as 3x4+6x³3x² -…

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Q: If " (x+5) dx = 14, then the value of b is equal to A) None B 2 (C) 4 D -3 (E) 3

A: Given

Q: QUESTION 15 Find the area bounded by the curve y = 16 4 square units 16 square units 10 square units…

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Q: 6x9-x5+- (A) π B 0 C) None π √4-x2 dx is equal to

A: Here we have to evaluate I=∫-226x9-x5+14-x2dx

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: Find the area bounded by the curve y=-x³ 1 - 16 A 8 square units B 16 square units 10 square units 4…

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Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Consider S integral can be written as of A, B, and C. 6 O 5 14/3 O 17/6 3x5 3x4+6x3-3x2 - 6x √(x-1…

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Q: Define Q as the region bounded by the functions f(x) = x and g(x) = in the first quadrant between y…

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Q: Evaluate sin (Inx) dx. Integration by parts will be used repeatedly. What is the expression after…

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Q: 6 Ⓒh'(x) = 7(7x³+4x) (21x² + 4)

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Q: If A B (C) E +x+ (x-1)(x+1)(x-2) 11 3 - <-2 11 3 None 3 dx = + B +dx, then the value of C is equal…

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Q: 4 b. [√x ln xdx, 1 4 ㅠ C. fx√4-xdx, d. fx sin (2x) dx. 0

A: Solve the following

Q: 11. The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4…

A: Follow the procedure given below.

Q: y dy Find ·S- using the substitution +5=√√y+2· Vy+2 ²(√y+2−5)(5√/y+2+y+21)+C 3…

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Q: y= (4x² + 2) (4x3³ - x)

A: Here we have to evaluate y=4x2+24x3-x

Q: The velocity of a projectile is found using the function v(t) = 2 + 16t and is measured in feet per…

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Q: By method of Integration by Partial Fractions, (x³ +5x²+6) dx (x²–2x+5)² A True B) False A B (2x-2)…

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Q: 3. S tan¯¹ √√x dx

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