43x+4 dx is equal to 1 x3+4x { A } In 8 {в } In 64 {c} In 25 {D} In 1E

Q: Find a and b in Va+4x-5 dx = x+2

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Q: 1. I = 4Vx+ 9 dx, x = 4, I = 3 2. I = :/ x = 1, I = 4 (5x*+8x³+9x² +2)dx,

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Q: Evaluate the integral. x dx (7x° + 3)* 5 (7x² + 3) * + c -4 O A. 56 7 O B. -(7x + 3) - +C Oc. -(7…

A: Given query is to find the value of the integral.

Q: 1. Use a trig substitution to evaluate √9-x² 3√3/2 x² -dx.

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Q: 1) Dyニメー2x十一o円 2x+10

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Q: 11)/ tấn (5x° – 4) dx 125x*sec (5x° – 4)-

A: Since, You have posted multiple questions. As per guidelines, we will solve only first question. If…

Q: 13) Find / VI- 2x dx by the method of substitution.

A: Substitute   1-2x = t

Q: 7 49 – x² dx 2. Compute the value of

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Q: Find the integral. dx 7/3-3x2 +C O b 2x2 육x기3-2x-2.c O d + 2x

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Q: n/3 sec23x 8. n/4 2+4tan 3x dx

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Q: Solve the integral. x3 – 4x2 + 21x + 13 2. (х + 1)2 (х2 — 4х + 8) dx

A: We have the given question as

Q: dz IV100-49(In z)?

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Q: Solve the integral. x2 – 4x + 1 . dx 4. (x2 — 2х + 10)2 |

A: Our Aim is to integrate the integral given below:-∫x2-4x+1(x2-2x+1)2dxSolution⇒For the integrand…

Q: )Solve for k such that 1 k(x2 – 2x + 1)dx = 5 - 0.

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Q: 40. Find two numbers a and b with a < b such that (24 – 2x – x²)/3 dx has its largest value.

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Q: Solve the integral. х3 — 4x2 + 21х + 13 dx (х + 1)2 (x2 4х + 8) 2.

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Q: d) Evaluate the integral. 4 – |x – 1|) dx + -12 + 8х — х2 dx + —72 + 18х — х2 dx 2 12

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Q: 2-3 dx Vx² – 16

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Q: uate the integral. 9. (x2 + 2x – 5) dx 4.

A: Given query is to find the value of the integral.

Q: Solve for k such that 1 | k(x² – 2x + 1)dx = 5

A: Given problem:- ∫ k(x2 -2x+1) dx =5  Solve for k

Q: (In x)² dx 3r

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Q: If 3 p(z)dz: -7 and Lple)dz = 4.7 what does the following integral equal? - 1 |. p(2)dz = -7

A: The objective is to evaluate the given integral.

Q: Which of the following is correct? * 3 3 (3 In(x²)) = dx (3 In(x²)) = dx Option 1 O Option 2 d 6 (3…

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Q: 3 Evaluate exactly. 24x³ dx 0 Vx* +1 x' +1

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Q: Evaluate. (4x + 5x²) dx -2x dx 8. 9. dx 10. -5 for x 2

A: To evaluate: ∫-12(4x+5x2)dx Solution: We know, ∫xn=xn+1n+1+C    ..(1) Here, ∫-12(4x+5x2)dx On…

Q: Evaluate the integral. 8+e-5x dx e6x 1 44 -5x +6 + C 30 O -8e-l1x(11e6x + 1) + C O .tel1x(88e5x + 6)…

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Q: ( (In 10x+ 4lnxr) $dx A Inx B In°x+4 C In°x D In 10x+4lnx In 10x+ 4lnx (E F None

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Q: 9. 3 + 5x + 4 dx Find 26 3 + 5x + 4) dx x6

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Q: To prove that 2 dx 2 In V1 + (In x)² + In x| + C X/1+ (In x)² we use the substitutions

A: The given integral is ∫2 dxx1+lnx2 Find your answer below

Q: 1. Find when y = In (-²). dx Express your answer in a single fraction.

A: The given function,     y=lnx5-2x

Q: 1 + cosh 2x 9. cosh? x 2

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Q: If you evaluate the integral expression S_12x+1|dx₁ |2x+1|dx the result is Blan

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Q: Solve using integration by parts de 3/2

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Q: Evaluate the definite integral using the given values

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Q: find the integral 4V2 (4 – x³)/² dx 3

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Q: A - 3 In 1x³ 3x²1+C BIn 1x³ 3x²1+ C x²–2x x3 3x² C dx In 1x³ 3x²1+C In 1x³ 3x²1+ C -

A: The given integral,    ∫x2-2xx3-3x2dx

Q: Solve the integral. (2x² – 3)dx 7. x– 2)(x³ – 8)

A: Given, I=∫2x2-3x-2x3-8dx

Q: 3 dx xV9- (In x)2

A: Let's find.

Q: dx 4x+6у+5 dy Зу+2х+4

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Q: Evaluate the integral. | (5x² + 8) e-"dx -33e + 18 -33e-1 + 18 -33e-1 – 18 33e-1+ 18

A: Given, ∫015x2+8e-xdx  We have to evaluate the integral.

Q: | 3tan-1(x)dx = %3D 2프-21n2 In(4) 2/3 None 을 + m2 2 In(÷) | 3 3 - In(4) 6 3

A: Solve by parts method of integration.

Q: B4. Evaluate the integral [(3x² - ª ++5 x -6) 4 +5 /x – 6) dx .

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Q: 3. (a) Determine 3 4 dx VI - x², + x2 (b) Determine 3 + V1- x2 4 dx 1+ x2

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Q: 4. √₁² (x²³/2 + x ²¹/2₂ - x^²/2) dx

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Q: 4 3x+2 dy %3D 2x-1 dx 12/09/2021 10: 00

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Q: 7. Evaluate the integral x4 6x5 1 dx

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Q: (5x¹2xy)dx + (6y+kx²)dy = 0

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Q: Solve the integral. (2x2 – 3)dx (x – 2)(x³ – 8)

A: Calculation: Let us consider, 2x2-3x-2x3-8. Rewrite the term 2x2-3x-2x3-8 as 2x2-3x-22x2+2x+4…

Q: Linear DE 1. x²y' + 2xy = 5

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