.6 15 | f(x)dx= and 2 | f(x)dx=5, then f(x)dx=? If A) 25/2 в) 5/2 C) 19/2 D 9/2

Q: 21. DETAILS ROGACALCET4 5.2.059. Assuming that - 1, = 8, calculate f(x) dx. dx =

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Q: Let y = [f(u) + 3x]^2 and u = x^3− 2x. If f(4) = 6 and dy/dx = 18 when x = 2, find f ’(4).

A: Given y=f(u)+3x2Differentiating with respect to x  dydx=ddxf(u)+3x2

Q: 9. Evaluate f, L" x²y²z dz dy dx ху Hw

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Q: 18 12 | f(2)dz – f(2)de = f(x)dx | f(x)dx 4 where a = and b =

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Q: 4. If o f (x) dx = 5 and S f (x) dx = 6, find So f (x) dx.

A: To find  Integral o to 4 f(x) dx from the given information.

Q: '5 ven f(x) dx = 19 and f(x) dx = 11, evaluate (a) f(x) dx. (b) F(x) dx. /5 (c) f(x) dx. '5 (d)…

A: Topic:- definite integration

Q: 21 11 | {(=) dz f(x) dx = where a = and b =|

A: Given: ∫821f(x)dx-∫811f(x)dx=∫abf(x)dx   We know that ∫acf(x)dx= ∫abf(x)dx+∫bcf(x)dx We can write by…

Q: Q8. Using 1/3 Simpson's rule with h = 0.1 estimate (x - 3x2 + 2). dx

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Q: 2 4 Evaluate Sx dz dy dx 3

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Q: Drove that 3 e dx converges to 9 3e

A: Explanation and solutions is given below.....

Q: 26. Evaluate (x³ + y² + z)dx dydz.

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Q: 5 2 +2 ) dx using Estimate I - n = 4 subintervals and (a) Left endpoints. (b) Right endnoints.

A: solution:-I=∫152x+2dx,     n=4f(x)=2x+2∆x=5-14=1(a) Left end pointI=∆xf(1)+f(2)+f(3)+f(4)…

Q: By using Trapezoidal rule, the value of "h" in evaluating ((x² – 2x +1)dx, by taking 8 subintervals…

A: The value of h to evaluate the integral  is 0.25 option (a) is true.

Q: Show that the value of Vx + 8 dx lies between 2V2 - 2.8 and 3.

A: According to the question, we have to prove that the value of integral ∫01x+8 dx lies between 2.8…

Q: 11. Suppose | f(x) dx = 4, / f(x) dx = 5, and | f(x)dx = –1. Then f(x) dx = %3D %3D

A: The addition and subtraction property of integrals help to find the value of the given integral.…

Q: Find * dy ,If y 3 dx + x O x^2 + x O x^3 + x^2 +1 O x^2 + x + 1 O 3x^2 + 2x + 1

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Q: 18 12 f(x) dx – | f(x) dx = f(x) dx - where a = and b =

A: Find value of a and b.

Q: uppose ſ, f (x)dx = 8, f(x)dx = 10 , §' g(x)dx = 4 , fó g(x)dx = %3D %3D %D ind : f (x)dx 4 [f (x) +…

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Q: Use geometry to evaluate the following integrals.

A: Given: fx=2,0≤x≤53,5<x≤10 we know that ∫010fxdx=∫052dx+∫5103dx…

Q: 3 Evaluate: ₁ S 1²,₁ S² [(x²-x²)²] dx dy x+y

A: To evaluate the given double integral.∫-14∫03x2-y22x+y dx dy

Q: 2 1 The approximation of -dx by the composite Trapezoidal Rule with n=2 is O x+4 0.30833 0.40833…

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Q: 4. If ( Inx dx = f(x)[In(x) + 1] + C, then f(1) = A 1 B D -1

A: Solution

Q: 9. What is the antiderivative of f (x* – x³ + x² ) dx? - 1 r5 а. 5 1 1 --x4 +x³ +1 4 -3 с. X. 4 3 b.…

A: Given :   ∫ ( x4 - x³ + x²).dx    NOTE:   To find an Antidervative for a function f , we can often…

Q: Evaluate. [4.3, 4.4] 20. x³ dx 21. 22. + x) dx 23. -dx Sx + 2, f(x) dx, where f(x) = 12 - Vx, for x>…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: N= 8%° + 3s $1

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Q: 3 Let f(x) = 8x° 1 df 15x - 5, x2 1.5. Find the value of dx at the point x= 2004 = f(7). %3D

A: Known fact: derivative of f-1x=1f' f-1x.

Q: Find the derivVative of the function. 5. y= In 8v +5 dy dv %3D

A: The objective is to find the derivative of the function.

Q: -20x-2) SS f(x.y) dy dx + f(x.y) dy dx= f(x.y) dx dy, then g(6a)+h(a)= if (4)6 0

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Q: --—-^[e'-In(2t+1)]dt, find g''(x) . dx -2 If g (x) = (A) (В Ce*- D 4 (2x + 1)² e* - In (2x + 1) 2…

A: We have to solve integral

Q: Q5. Evaluate ſ^₂ ¹¹ xy dx dy. ry+1 y²

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Q: Choose the letter of the correct answe. 1) x² (xdy + ydx) = (5- xy) dx a) x ln (5-xy) = 1- cx b) -x…

A: We are allow to solve first question only .If you need rest of answer please upload it separately…

Q: d ** If g(x) = [e² – In(2t + 1)]at , find g" (x) dx A ex- In(2x + 1) 4 ex - (2x + 1)2 B (c) none of…

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Q: 18 13 f(x) dz - f(x) dx = f(x) dx where a = and b =

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Q: If e**У- ху, then dx x(1- y) A Ax- 1) Ax - 1) B x(y- 1) (1- x) x(y- 1) x(y- 1) (D Ax - 1)

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Q: 4. (a) Find (b) Hence evaluate d dx √1+x² X S (1+x²)³/2 dx.

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Q: 4-compos dx dy 5-find dry if f(x, y) = xe xe 6- find (x²³/2)

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Q: 5. Let y=(f(x)+5x^2)^4 and suppose f(−1)=−4 and dy/dx=3 when x=−1. Find f'(−1).

A: Given , y = (f(x) + 5x2)4 and also given that ,f-1) = f , dydx =3 when x=-1 , we have to find f'(-1)

Q: 4. Compute the following: (a) e dx -1 d (Ъ) dx f'(x) dx a

A: 4.(a) The objective is to find the value of ∫-11edx

Q: ** If g(x) = S [e* - In(2t + 1)]at , find g"(x) dx ex. (2x + 1)2 A ex – In(2x + 1) 4 ex + (2x + 1)2…

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Q: 28 Find nd [² [ 2h f f(4x)dx if f(x)dx = 5. 16 Enter the exact answer. [fe f(4x)dx =

A: Given :∫1628f(x)dx=5

Q: 23 Evaluate the following. 2x' b. dx V1+x d. dx e. fx' In x dx

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Q: 10 Evaluate the integral f 2x (x2 + 4) " dx using the substitution u = x² + 4. 2x (x² + 4)*" dx =|…

A: The given integral ∫2xx2+410dx

Q: '5 If f(x) dx = 8 and f(x) dx = 5.3, find f(x) dx. If f(x) dx = 31 and g(x) dx = 14, find [4f(x) +…

A: 1. ∫17f(x)dx=8 and ∫57f(x)dx=5.32.∫07f(x)dx=31 and ∫07g(x)dx=14

Q: dy Find dx for y = In (8x³ -x?). dy 24x - 2 O A. dx 8x - x dy 24x - 2 O B. dx 8x -x dy 24x - 2 O C.…

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Q: Suppose that f (0) = 1, f(0.5) = 2.5, f(1) = 2, and f(0.25) = f (0.75) = a. Using trapezoidal rule…

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Q: 5 If [F(x) dx f(x) dx = 7.4 and 1.°F(x) dx f(x) dx = 5.7, find [²1 f(x) dx.

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Q: Suppose that f(0) = 1, f(0.5) = 2.5, f(1) = 2, and f(0.25) = f(0.75) = a. Using trapezoidal rule…

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