3. 2(2x2 + у?)dx — хуdy %3D0. |

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

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Q: 4+ Vx dx 7.

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Q: Evaluate S Vx – x² dx -

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Q: 10 x2+3 dx 4

A: Explanation of the answer is as follows

Q: 4. (2x2-у?)dx+2хydy-0

A:

Q: S- VE + 4) dx b)

A: We have to evaluate given integration ∫5x4-x5+4dx

Q: ə e(g?+5xy-24 +4) dx x(2x + 2y -1) dly + メ

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Q: () Stany" (secx)"dx 4.

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Q: 17. 2x√/x dx 18. de xVx S

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Q: S egral dx (x²+4)² can be transfa

A: Answer is option-(d).   Using basic equations of trigonometry and substitution we got the answer as…

Q: 213 dx 4+x² ,2

A: We will use substitution to solve the integral

Q: dx is The value of

A: As we know that the Power rule: ∫xndx=xn+1n+1,n≠-1 1). From the given problem I=∫561x2dx So,…

Q: b. S dx ¿ -1

A:

Q: Evaluate the to -y dxd

A: Given that, the integral is ∫01∫01-y2x2+y2dxdy. Obtain the value of ∫01-y2x2+y2dx.…

Q: d) S 2xe* dx

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Q: S dx 2 x² + 10x +30

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Q: S¥×(2x³ + 1)dx 3,

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Q: 1. Sx³dx dx 2. S

A: In integration we basically have definite and indefinite integrals . In definite integral we have…

Q: S(3x2 - 2x + 1) dx |

A:

Q: Suppose y = 3x + 2. What is delta y if x increases by 3?

A: Given:        y=3x+2

Q: Evaluate: (4) S esc" (a) (2x +1) dx C6) Syos y dy

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Q: Find ∫ e5x+2 dx

A: This is a simple problem of antiderivative (also called integration). Here we are going to use…

Q: S,(3x + a)dx = 10 , then a =

A: Given: ∫123x2+adx=10 As we know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫a·fxdx=a·∫fxdx;…

Q: |(181? +t+2) dt dx 8.

A: Given expression is

Q: S 3x³y dx

A:

Q: What is the approximate value of V16 - V10?

A: The approximate value of 16 -10  is  =4 x 4 - 10=4-10 9 is 3 and 16 is 4 so value of 10 is slightly…

Q: 3. S dx xVx6 – 1

A: Here we have to solve the given integration.     ∫dx/{x√(x6-1)}

Q: 2. ſ xºcos(4x)dx

A: ∫x0 cos4xdx

Q: 4 dx is equal to: xv16 - x2

A: we have to find the following integral

Q: b) L,(3x² – 2x + 1) dx

A: on solving this we get the value

Q: Se2x sec?e2x Vtan e2x + 2 dx

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Q: -10 b) L,(x² + x)dx 10

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Q: What is d/dx e7x?

A: We have to find the derivative  with respect  to x.

Q: A ezbx? dx 2

A: As per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: Evalmate: 3/2 Cas 3x) dx

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Q: 4. S x²V9 – x² dx

A: the given integral is: ∫x29-x2dx we have to evaluate the given integral.

Q: (c) S /2x – x² dx

A:

Q: 2) S 3cotx.csc² (x)dx

A: I have used method of substitution of integration and formula

Q: 1. S Vx4 – 10x3 + 25x² dx -

A: Solution: As per our guideline we are supposed to answer only first question . Kindly repost other…

Q: 7. Sxtan-x dx

A: Given: The integral is  ∫xtan-1x dx     Formula used: Integration by parts: ∫udv=uv-∫vdu

Q: Зх - 6 Find if y= dx 2 · 18x?

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Q: 3x dx S V4 - х

A: We have to evaluate the integral: ∫3x dx4-x Solving by substitution method. Assuming, t2=4-x…

Q: d'y -3x dx?

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Q: 1. J (5x* - – 4x + 7) dx 8x³ + 6x2

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Q: Vsin² 2x dx =?

A: Given ∫02πsin2 (2x) dx Remember sin2 (2x) is always positive. Thus, sin2 (2x) should be positive for…

Q: S(secx – tanx)²dx

A: I have stated the used formulas in the solution

Q: dx J Tx2 – 25

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Q: Evaluate a dx a2 +k? -

A: From the given problem: I=∫x-ax2+k2dx So, we can also write as:…

Q: SP dx * if y = In [(2x³ + 7)(9x – 2x²)]* Find

A: