Find the indefinite integral. x + 8x + 1 dx *+ 12x2 + 3x + 2

Q: Find the indefinite integral.

A: We have to evaluate the following integral: ∫x2-3x+2x+1dx

Q: Evaluate the indefinite integral: .3 dx x² – 2x + 5

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Q: Find the indefinite integral.

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

Q: 3 2 dx . 3

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Q: Find the indefinite integrals: 15/2 + 4x + 1 a) rp- b) 6t" + + xe' ) dt

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Q: Find the general indefinite integrals of: 2. S Vx2 + 2x dx

A: First add 1 and subtract 1 so that make it x+1. Whole squre then put x+1=t. Then use the formula and…

Q: Evaluate the indefinite integral. dx 2 5x

A: We have to find given integral.

Q: Find the indefinite integral.

A: ∫x25-x3 dx Put, 5-x3=t⇒0-3x2=dtdx⇒-3x2 dx=dt⇒x2 dx=-dt3

Q: x dx |-7-8X-x²

A: This question can be solved using the concept of some special integrals.

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: Find the indefinite integral.

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Q: Find the indefinite integral ∫ x2/(5 − x3) dx

A: Given integral:

Q: -14 dx 4 -2 x+2

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Q: Find the indefinite integral ∫ 12/(1 + 9x2) dx

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Q: 2.x D' -8 .

A:

Q: Find the indefinite integral.

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Q: Evaluate the indefinite integral:  ∫ (3x2 + 1)(x3 + x)2 dx

A: We have to evaluate the indefinite integral: ∫3x2+1x3+x2dx Rewriting the integral by using…

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: Find the indefinite integral.

A:

Q: Evaluate the integral. 0.4 x2 dx 4 - 25x2 |

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

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Q: Find the indefinite integral. X< + 12x + 1 .3 dx to x° + 18x² + 3x + 4 ,2

A: Given: Let I=∫x2+12x+1x3+18x2+3x+4 dx To Find: To evaluate the given indefinite integral.

Q: Evaluate the indefinite integrals. (a) ƒ 2r(x² – 3)³ dx

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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: 3x2 + 2x +1 dx x2

A: See the attachment

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

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Q: Evaluate the integral. 0. (4.4x2 - 1) dx

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Q: Evaluate the indefinite integral. Vx² – 16 dx

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Evaluate the integral. '5 x - 4 dx x2 - 3x - 18

A: We first factor the denominator. ∫-25x-4x2-3x-18dx=∫-25x-4(x-6)(x+3)dx

Q: Evaluate the integrals

A: ∫1e1x(1+7 ln x)-13dx

Q: Find the indefinite integral. - 4x2 + 2) dx + C

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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: Find the indefinite integral. x* - 1 dx (x5 – 5x)³

A:

Q: | (3x² + 4x + 1) dx

A: The power rule of integral is,

Q: Find the integral ∫(x3 + x)5(3x2 + 1) dx.

A: we have to find the integral of ∫(x3 + x)5(3x2 + 1) dx.

Q: Find the indefinite integral 1 + 3e* dx 2x x²

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Q: dx (4 + x²)²

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Q: Evaluate the integral 2∫0(x3−x2)dx.

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Q: Find the indefinite integral. 1 Js (12x) dx 3+ 2x

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Q: Vx2 – 4 dx x2

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

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

Q: Evaluate the indefinite integral: x(7+6x³) dx +C.

A:

Q: * (x² + 4)³/2 -dx

A: Find the integral of the give function: ∫x2+432xdx

Q: Find the indefinite integral. ∫(4x2 + x + 3) dx

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Q: Evaluate the indefinite integral. dx (9 – x²)3/2

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Q: Evaluate the integral |- 5x + x3 - 2 x5 dx 3

A: Topic:- integration