Evaluate the integral V212 -7x2 dx 1 – x²

Q: evaluate the integral.

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Q: Evaluate the integral. V3/2 5x2 dx V1 - x2

A: Consider the trigonometric identities 1)  cos2x = cos2x - sin2x = 1- 2sin2x 2)  cos2x + sin2x = 1 3)…

Q: Evaluate the integral ∫dx / x2+10x+26.

A: We first complete the square of the denominator

Q: Evaluate the integral. Vx² +9 dx

A: In the given question first use the substitution method and then use the properties of indefinite…

Q: Evaluate the integral. X- 8 dx x2 - 7x + 10 Jo

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Q: Evaluate the integral ∫dx/ x√x4 - 1

A: We have given the integral;

Q: Evaluate the integral. 3* dx V3* + 4

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Q: Evaluate the integral ∫ dx x4−1.

A: C=integrating constant

Q: V3 – x² dx

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Q: Compute the integral ∫ x+1 / √x2+4x+8 / dx.

A:

Q: Evaluate the integral ∫dx/1+2x2.

A: Given :

Q: Evaluate the integral. х — 1 dx x2 - 7x - – 8

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Q: Use any method to evaluate the integral. dx X>11 (x²-121) 3/2

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Q: evaluate the integral.

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Q: Evaluate the integral. √3/2 x² V1-x² dx

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Q: Evaluate the integral. dx x2 - 5x + 6

A: Given integral:

Q: dx √1 + 4x²

A: Let's evaluate given integral by using trigonometric substitution.

Q: Evaluate the integral. x3- 2x2 - 4 dx x3 - 2x2

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Q: Evaluate the integral: V9 – x² dx

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Q: dx 4 3

A:

Q: Evaluate the integral. 7x - 6 -dx (x+4)(x² + 1)

A: We have to find solution

Q: Evaluate the integral. 17 dx /2 x²Vx² – 1 ||

A: We will evaluate the given integral as shown below

Q: Evaluate the integral

A: Given: I=∫xdxx2-7 for evaluating given integral, in given integral we substitute x2-7=t…

Q: Evaluate the integral. dx x2 + 6x + 13

A: The given integral is ∫57xx2+6x+13dx To evaluate this integral, multiply and divide it's by 2.…

Q: Evaluate the integral 4х + 5 dx. 3 - x2

A: To find the integral

Q: Evaluate the integral. dx x2 + 4x + 20

A: Solution: ∫02xx2+4x+20dx

Q: 2 dx o 2x² + 3x + 1

A:

Q: Evaluate the integral. X - 4 dx Jo x2 - 5x + 6

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Q: Evaluate the integral. dx x + 4x + 13 13

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Q: Evaluate the integral ∫dx / √(a2+x2)3.

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Q: Evaluate the integral

A: Given:

Q: 6x dx (x³+1)*

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Q: Evaluate the integral. V19 12) x dx 1

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Q: Evaluate the integral

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Q: Evaluate the integral. . 4 1) x In 2x dx 1

A:

Q: dx /9 – x²

A: To evaluate the given integral: I=∫dx9-x2

Q: To evaluate the integral/ V3 – 3x² dx,

A: Substitute, x=sin(θ)dx=cosθ dθ The expression f(x) becomes,

Q: Evaluate the integral /4- x2 dx. x2

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate the integral x³ - 3– 2x2 - 4 dx x3 -2x2

A: We have to find integration in this question.

Q: Evaluate the integral. 8*V1-x² dx x³V

A: Let, z=1-x2dz=-2xdxdx=dz-2x When x=0, then z=1 When x=1, then z=0

Q: Evaluate the integral dx (7x + 6)2

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Q: Evaluate the integral ∫dx / x2+4x+8.

A:

Q: Evaluate the integral ∫dx / 3√x+1.

A: To evaluate the integral  Applying constant multiplier rule,

Q: Evaluate the integral: x2 dx V1 - x6

A: Given integral is: ∫x21-x6.dx

Q: Evaluate the integral ∫dx / 5−4x−x2.

A: I = ∫dx5-4x-x2I = ∫dx5-5x+x-x2I = ∫dx5(1-x)+x(1-x)

Q: /1- xº V1-x°

A:

Q: Evaluate the integral. V3 dx 1/V31 + x2

A: Consider the given integral: ∫13331+x2dx Now let , x=tanudx=sec2u·du If, x=3   Then,…