This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Evaluate the indefinite integral. tan-1(2x) dx 1 + 4x2

Q: How do I evaluate the indefinite integral?

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Q: Find the indefinite integral (tan -1æ}? dx. 1+ x2

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Q: a) √ (³x²-²) dx S (3x2

A: In this question we have to find integration and after that We have to verify.

Q: Find the indefinite integral.

A: To evaluate the integral: ∫1x2-4dx Solution: Let substitute x=2secθ. dxdθ=2secθ tanθdx=2secθ tanθ dθ…

Q: 1 6x dx V16 + 3x2

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Q: evaluate the integral: integral of 8x*sin^2(x)dx

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Q: Evaluate the definite integral. 62 dx (1 + 2x)2

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Q: Evaluate the definite integral.

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Q: Evaluate the definite integral: 5x dx 2

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Q: Find the indefinite integral ∫ dx/√(1 − 4x2)

A: Consider the integral, ∫ dx/√(1 − 4x2) Let f(x) = 1/√(1-4x2) By using the trigonometric…

Q: Evaluate the indefinite integral: (x² – 3)*(2x) dx -

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Q: Evaluate the definite integral. XVx- 2 dx

A: ∫23xx-2dxSubstitute x-2 = tDifferentiate x w.r.t tdx = dt Changing limit :i) If x = 2 then t = 0ii)…

Q: 1 | x(x2 + 1)*dx -1 |

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Q: Evaluate the definite integral. XVx - 2 dx /2

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Q: Evaluate the indefinite integrals - e2* )dx

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Q: Evaluate the definite integral 2 x* +3x' -dx 1

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Q: Find the indefinite integral. Solution in handwritten. 6x² 1. Sa -dx (4x3-9)3

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Q: Evaluate the definite integral. dx 6x – 3 1

A: *to find:- to evaluate the given integral. *concept:- logarithmic property. log(m) - log(n) =…

Q: Evaluate the definite integrals. a) (x³ + 6x)dx

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Q: Find the indefinite integral. ∫5xe−x2 dx

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Q: Calculate the definite integral of: 2x + 4 dx

A: compute the definite integral let I=∫242x+4 dx

Q: Find the indefinite integral.

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Q: Find the Indefinite Integral. dx 12-3x

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Q: Find the indefinite integral. (8x+9)dx%3=

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Q: Find the indefinite integral.

A: Consider the given: ∫ e-x4-4x3dx=∫ -4e-x4x3dx=-4·∫ e-x4x3dx

Q: Evaluate the indefinite integral. -dx 1 – x8

A: We use the standard integration result ∫11-x2dx=sin-1x+C

Q: (x-2x) dx -2

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Q: √ √√x√1 - x-¹ dx

A: To find out the integration

Q: Find the indefinite integral.

A: Given:          ∫x2+2x-6x4dx Expand: x2+2x-6x4=1x2+2x3-6x4 Apply the sum rule: ∫fx±gxdx=∫fxdx±∫gxdx…

Q: Find the indefinite integral ∫ dx / √x(2√x + 5)

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Q: Find the indefinite integral. ∫cos3( x/3)   dx

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Q: Evaluate the definite integral

A: Given : ∫-212xdx

Q: Solve the integral. x +1 -dx 4. 4 + x2

A: Our Aim is to integrate the expression given below:-∫x+1x2+4dx -(i)

Q: evaluate the definite integral.

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Q: Find the indefinite integral. x cos 10TX2 dx

A: We can find the integral as below.

Q: Evaluate the indefinite integral -dx x4 + 3

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Q: Find the indefinite integral. dx | 7x2 +2

A: Given, I=∫x7x2+2dx

Q: Evaluate the definite integral. 13 dx 3 (1 + 2x)2

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Q: Evaluate the definite integral

A: Evaluate definite integral.

Q: Evaluate the indefinite integral. x² A -dx 1- x6

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Q: Find the indefinite integral.∫cos2 3x dx

A: To evaluate the indefinite integral ∫cos23x. Solution: The given integral is ,∫cos23x Multiply both…

Q: Evaluate the definite integral. 16 -3/2 dx 10x 1

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Q: (ポ-2) X1 X

A: ∫12(x2 -2x)dx/x here now diivide by x ∫12 (x -2)dx [x2/2 - 2x]12 (2)2/2 - 2*2 - 1/2 + 2 2 -4 -1/2+2…

Q: Evaluate the definite integral (2x + 3)dx 3.

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Q: In -dx x²

A: This is a problem of integration. Based on the general formula of integral by parts we will solve…

Q: Find the Indefinite Integral. x²-2x dx メ-3

A: We have to find the Indefinite Integral  ∫x2-2xx3-3x2dx.

Q: -2e dx

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Q: Evaluate the definite integral. (x² – 3) dx -4

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Q: Find the indefinite integral. 14x In (3x)dx

A: From the given problem:   I=∫ 14xln3xdx=14·∫ xln3xdx   From the integration by parts:…