Evaluate the integral V1+ x? dx -7x

Q: Evaluate the integral. x sec (3x) dx + C

A: Topic = Integration

Q: Evaluate the integral c0.3 dx V1- a2

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Q: Evaluate the integral ∫√x2−a2x / dx.

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Q: Evaluate the integral. 3 (x³ - 6x)dx

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Q: Evaluate the integral V2/2 7x? dx V1 – x2

A: Please see the answer below.

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 ∫dx/ x√x4 - 1

A: We have given the integral;

Q: Find the integral ∫xe−x2dx.

A:

Q: Evaluate the integral. x sec (9x) dx +C

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Q: Evaluate the integral.

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Q: evaluate the integral. a-) x2 2x dx c.) b.) 3 )عو ه dx 5/3

A: use substitution method  for evaluating the integral.

Q: Evaluate the integral.  ∫ (8 − 9x) dx __________________+ C

A:

Q: Evaluate the integral f xe6x dx

A: Given :          ∫xe6x2 dx   To evaluate the given integral.

Q: 2 Væ? – 1 -dx. x² 1

A: Here , we will solve the integral using substitution form .

Q: Evaluate the integral

A:

Q: Find the integral dx √=x² + 6x I

A: We know that ∫dxa2-x2 = sin-1xa+C

Q: 1 dx x² Vx2 – 9 3.

A: Given ∫3∞1x2x2-9 dx We have evaluate the integral. Formul;a will use1.∫sinxdx=cosx2. sec2x-1=tan2x

Q: Evaluate the integral v22 -6x? dx V1- x2

A:

Q: Evaluate the integral

A: Apply integration by parts,

Q: Find the integral ∫dx / √(x2+1)3.

A: Let x = tanu Hence, √(x2+1)3 = sec3u dx = sec2u du

Q: 4 + V16-x? dx 3 2

A:

Q: Evaluate the integral. V3 x3(x?) dx 1

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Q: Evaluate the integral x Cx²-3) dx

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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

A:

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

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

A:

Q: Evaluate the integral. B (4x- 3)* dx

A: To evaluate : The  integral ∫28 4x-33  dx

Q: Evaluate the integral: x³V = x² + 4 dx

A: The given integral is: I=∫x3x2+4 dx

Q: Evaluate the integral 9x² √x² + y² dzdy dx

A: Given problem:-

Q: Sx³(a² + x²)î dx

A: We will solve the problem.

Q: Find the integral ∫ dx / x2−5x+7.

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Q: dx x2 – 2x + 50

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Q: Evaluate the integral. dx (x² – 1)3/2

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Q: Evaluate the integral t/2 10x csc2 (x) dx

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Q: Evaluate the integral. 1/3 "V1- 9x? dx

A: To evaluate ∫0131-9x2dx

Q: Evaluate the integral.

A: To evaluate: ∫dxx2-4x Given integral can be re-written as: ∫dxx2-4x=∫1x2-4x+4-4dx=∫1x-22-22dx We…

Q: Evaluate the integral ∫2x+3 / x2−9 / dx.

A: Now consider,

Q: Evaluate the integral. dx 2 (a² + x²)3/21 a>

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Q: Evaluate the integral. 9x2 +x +1 -dx

A: Solve by integration

Q: 3 x° +x* dx x² 4 3

A: The given integral is solved below in detail.

Q: Evaluate the integral.

A: Evaluate the integral.

Q: Evaluate the integral f 9(√x² + y²) dxdy.

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Q: Evaluate the integral. 2x /x² + 9 dx

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Q: Evaluate the integral: V13 – : 25x?dx + C

A: Formula used: The given integral is: We need to find the value of the given integral.

Q: Evaluate the integral: 1 dx = %3D x2 – 20x + 101

A: I=∫1x2-20x+101 we use the common formula ∫du1+u2=lnu+1+u2+C

Q: Evaluate the integral. 9. dx (36 + x²)3/2

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Q: Evaluate the integral. '8 xet dx (1 + x)?

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Q: Evaluate the integral ex dx 2x 3e2x 2e

A: Given integral, ∫ex2e-2x-3e2xdx.   It is integrated as follows: Apply u-substitution, u=e-2x.…

Q: Evaluate the integral of: * dx x2 – 2x + 50

A: