Find the indefinite integral. x² + 4x + 5 dx x3 + 6x² + 15x + 8

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A: ∫02 14-x2 dx

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A: ∫ax+bn dx = 1aax+bn+1n+1+C

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Q: Find the general indefinite integrals of: 6x xp. 4. (x2-7)1/9 A

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Q: evaluate the integral.

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Q: Evaluate the integral

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Q: Evaluate the integral x³/x² - 7 dx.

A:

Q: Evaluate the definite integral. 2 e3x dx 3x 1 + e3x

A: Here, we can see that the numerator is of the form of the derivative of the denominator, hence, we…

Q: Find or evaluate the integral by completing the square.

A: Our Aim is to evaluate the integral given below :-∫1-x2-4xdx -(i)

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 integral.

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Q: Evaluate the integral. x² + 9 dx

A: we have to evaluate  ∫03x2+9dx

Q: Find the following indefinite integrals. 24x² a) S -dx (3x4-8) b) c) (-2x² - 15e* + √√x³) dx…

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Q: Find the indefinite integral. 9(9x + 2)4 dx + C

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Evaluate the integral A) 16T -3 4 x² + 8x + 17 dx.

A:

Q: Find or evaluate the integral by completing the square

A: Consider the given integration as I=∫2dx-x2+4x Or it can be written as I=∫2dx-x-22+4

Q: dx x2-x

A: Convert the rational function into partial fraction. Use integration of 1/x dx = ln(x) +c

Q: Evaluate the integral. 5 0 √ x² + 25 dx

A:

Q: Evaluate the integral. 13 x2 e-2 dx + C

A: topic - indefinite integral

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

A:

Q: 13. x-x dx x² +x?

A: We need to evaluate the integral ∫13x-x-3x2+x-2dx ................ (1)

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

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

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

A:

Q: Evaluate the integrals

A: 1) ∫xndx=xn+1n+1+c2) ∫adx=ax+c

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: dx x2 – 2x + 50

A:

Q: Find the indefinite integral 3x2 dx et 2.

A: ∫ex-3x22 dx

Q: Evaluate the definite integral. 6. e2x dx e2x + 3

A:

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

A: We can observe that,  Numerator x2 is of the form of derivative of 2-x3 So, it can be used to…

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

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Q: Evaluate the integral. 5х — 7 dx 1+x2

A: Given: ∫5x-71+x2dx To evaluate the integral.

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

A: Now consider,

Q: 6. dx √x²-4x+13

A: We will use simple Integration rules to solve this question.

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: dx 21. x² + 6x + 13

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Evaluate the integral. 1 X - 4 dx x2 – 5x + 6

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

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Q: Find the integral 15 x+3 √1-x² dx

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

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Q: Find the indefinite integral. x² + 8x + 1 dx x3 + 12x2 + 3x + 6 Step 1 Begin by rewriting the…

A: follow next step

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

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Q: 2. 4x(2a² + 1)' dx

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Q: Evaluate the definite integral. 5x2 + 1 dx = x2

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Q: Evaluate the integral. (x-5)dx 1. 1 (x²-10x+25)2

A: ∫12(x-5)(x2-10x+25)2dx