7 Suppoe | f(x) dæ = 3, f(x) dx = 14, | f(æ) dæ = 7. %3D Then 8. f(x) dx Σ I F(x) dzæ = Σ

Q: dx = [Af(x) – B In(g(x))% + D S and if A =.B < 0 , then ƒ 2 dx = x+2 x+2 ...

A: The given integration: ∫abx2+x+12x2+2+x3+x dx=Af(x)-Bln(g(x))ab+D∫abdxx+2  →  eqn 1 From the above…

Q: Q3: Evaluate the following integrate: (chose three only) 1. dx 1+x4 2. ex-edx ex+e-x 3. fxsec² x dx…

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Q: In the function given. Evaluate the integrals.

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Q: -. Evaluate f³ exp(ar)dr where a > 0

A: Evaluate the integral which is given as, Integration of ex is ex and differentiation of xn=nxn-1…

Q: Evaluate xe-X dx, if it exists. O 1) 1/2 2) 1 3) 1-e 4) It does not exist.

A: We have to evaluate given integral

Q: Q1: Answer of all branches Find :- "x ear" dx 2) I= yie-y dy 3) I= x*e-2* dx 1) I= ax dx

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Q: dx 1.5- 2x-x e if y = r(In x)² . . fr'e* dx. 2 if y = csch-1 20. de 2x+2 dx. -2x+1

A: since you have posted question with multiple subpart s, As per our guideline we supposed to answer…

Q: /2 rcos x C T-X 6. [" sin(x + y)dy dz dx n/6 Jo

A: Let, I=∫π6π2∫0cosx∫xπ-xsinx+ydydzdxLet I2=∫xπ-xsinx+ydyPut x+y=udifferentiate dy=duas y=x  then…

Q: What does f(z) dz mean?

A: Given that: ∫f(x)dx

Q: Using Monte Carlo, estimate the value of e*y dx dy. 0.

A: Given that, ∫01∫01exydxdy By the monte carlo formula, ∫01∫01exydxdy=∫01exyy01dy=∫01eyy-1ydy

Q: dy of x3 +v³ = 4 of X + dx Find O x? y² ,2

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Q: cosh (2 m(x)) dkr (A) 를 + +c (B) 0 (C) (D) sình(2 m(r)) +e (E) है - c

A: Solving the problem by finding the value of the integration.

Q: 7. S(x – 9)7 dx 8. S: r5 dr V3-r6

A: Given query is to solve the following using the substitution:→∫x-97dx→∫r23-r6dr

Q: 5 Given | f(x) dx = 17 and f(x) dx = 9, evaluate (a) Fx) dx. (b) F(x) dx. '5 (c) F(x) dx. 15 (d)…

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Q: f(x) dx = 9.4 and Fx) dx = 3.8, find Ax) dx. If Need Help? RAd i Naer

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Q: Using Trapezoidal method √√x dx for n = 4 is equal to Blank 1 (use 2 decimal places with proper…

A: We need to use here, the trapezoidal rule.  ∫ydx = h/2 [ y0 + y4 + 2 ( y1 + y2 + y3 ) ]  For this…

Q: 3 a) Given fg(x)dx=5, [[3g(x)– 4h(x)]dx = 27 . i) Find [h(x)dx . ii) Hence, evaluate [4x – 3h(x)]dx.

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Q: QI/ Find G.S for following D.E (4x- 2y+2) dx -(2x-4y+2) dy 0 12

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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: The tanh (2x) sech (2x) dx is equal to sech? (2x) sech (2x) -2*) O A. 1 +C 2(e2 +e 3 10 B. tanh6…

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Q: Ho Find (yor dy d'y ) and (y or -) for the following functions: dx dx L 2. y= x² (x-1)² 5. y=(x²…

A: We need to find the first order and 2nd order derivatives of the given functions.

Q: /2-x2 Evaluate *Ty dy dx x²+y² Select one: a. Non of them b. 1 2 - V2 С. 1 1 V2 d. 1 3

A: We will find out the required value of given integral.

Q: 13. Se"dx = %3D 3a41 re +k. 3x+1 B 3e" + k. A c+k. 3x te +k.

A: ∫e3xdx=

Q: +Va² - a +x + If y = Va? +x? - Va? -x² 2 Va² +x? Show that dy 2a a? 1+- dx 3 Va* – x*, | 2.

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Q: Given that 7 < f(x) < 8 for 1 < x < 2, | f(x)dx estimate the value of / s(x)dx < VI

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Q: 1 c2(1-z) Evaluate Sa-2) s(1-;-2) dy dx dz

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Q: f(x) dx =1 then the value of If f(3x +1) dx is %3D ! 1

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Q: Integrate ∫x(√4 − x )dx (a) by parts, letting dv =( √4 − ) dx. (b) by substitution, letting u = 4 −…

A: Consider the integrals, ∫x4-xdx…

Q: Given 1 [₁f(x) dx = 0 and -1 1 S²F(x f(x) dx = 11 6 I evaluate 1 √²3f 3f(x) dx - .0 -1 2f(x) dx.

A: Given that, ∫-11fxdx=0 and ∫01fxdx=116 Evaluate the value of ∫013fxdx-∫-102fxdx.

Q: 12. fe"dk = А. 1-е! В. -1-е! C. e+e D. -1+e 13. felnx dx = A +k В. +k C. e +k D. 2ehr +k Inx 513

A:

Q: en [_²_f(x) dx = 0 and ² fl Given f(x) dx = 11 6 T evaluate √3f(x)dx- -S__2f(x)dx.

A:

Q: 4e4sin6x dx secбx Evaluate A) -In|sec6x| + C B 4sin6x + C 1 e4sin6x+ D 4In|sec6x| + C

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Q: 3. Evaluate: e-x²+2x dx (Hint: let t = (x – 1)²) |

A:

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: iven the ODE, solve: x(x + 4)*dy + [y(x+ 4)* – 3x*y³]dx = 0

A:

Q: Q2: Choose the correct answer 6-y - (x+)(x-+ 1). Find = x + d'y dr? AzP %3D d?y (b): 2+- (a) 2 dx2…

A:

Q: In the function given. Evaluate the integrals.

A: Given information: ∫03fxdx=2∫36fxdx=-5∫36gxdx=1 Use the given information, we have to find ∫63fx+2gx

Q: Q# Which of the following is equivalent to: xarctan(5x)dx = -dx 2(1+25x²) A) -arctan(5x) – | 5x B)…

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Q: 19) Sa241) = Sdx + S dx, then values of A, B and C respectively are 19) (+1) dx Bx+C x2+1 В. -1, 1,0…

A: We will solve the following.

Q: Consider I = (2x – 1) dx with b > 0. If R21 = 2 then the value of b is: O 1.5 2 1 0.5

A: Use the following formula, to estimate the integral ∫abfxdx by Romberg integration method.…

Q: 10. If f(x) dx = n, S 78(x) dx = 7, and So g(x) dx = 2, find the values of the following. g(x) dx b.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: True or False: If / X (x − 1)(x + 2) dx then B = dx = 1 -In(x - 1) + Bln(x + 2) + C 3

A: Consider the integral, ∫xx-1x+2dx=13lnx-1+Blnx+2+C then B=13. To determine whether it is true or…

Q: 1. Evaluate a dV where E = {(x, y, 2) E R³ | 0 < z < x + y,0<x < y?,0 < y< 1}.

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Q: 8. Find for y = csc²5x dx a. 5 cot 5x b. 5 cot 5x csc 5x c. 10 cot 5x csc 5x d. 10csc25x cot 5x e.…

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Q: - S (x+1)dx в с х-1 (х-1)?, A If (x+2)(x– 1)² dx , the values of A & C respectively are + %3! x+2

A: The given equation is as follows. Solve the function by partial fractions as follows.

Q: Prove the reduction formula S x"e*dx = x"e* – n S x"-'e*dx

A:

Q: 3 ) what is S f'(x) dx?. 2. (2) What is Use table for valves: 3. 3. 5. L23 3

A: Given: Table: 1)  I=∫13f'(x)dx2)  I=∫12(4x−2)g'(x2−x+1)dx