e2x dx e2x – 1 (e) -1

Q: х3-2х2+3х-3 5. S dx х2-2х+1

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Q: 50 (e*-2)(e2x + 1) et dx

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Q: 4 x 2 | We wish to understand °, h(x) dx

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Q: 2x dx e2* +3e" +2 5.

A: To solve this integral, a substitution of is taken. Then it is differentiated to find the value of…

Q: 2x2 + 2x+1 dx. x+1 Evaluate: e

A: Please see the answer below.

Q: 3. S(e3* + e-2x)²e¬*dx

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Q: ース e-*dx |4+e-2x

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Q: e1 dx 1 e O (e-1 )/e - 1 1 ООО О

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Q: S (x² + 1) e~3* dx -3x

A: we have to simply compute the following integral

Q: x4 +1 x³+9x -dx

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Q: [ 2 (e* - 2) (e* - 3)dx -3 (2 e*.e* + 4)* dx

A: (1)…

Q: 00 e-2y dy 0.

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Q: | 4.0°e-9* 4x³e-9a* dx

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Q: e2 dx 2x (In x)3 e

A: Given:

Q: 3x2+2 0 2x²+4x+3 So dx

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Q: YOUR TURN 5 Find x'e dx. Sx²e*

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Q: 2X – 1 dx 5. Í 2х e e 2X –3

A: The given integral is: I=∫e2x-1e2x-3dx Now rewrite the above integral as below:…

Q: g. h. √(x² [x³e³dx x² - 2x + 1)e2x dx

A: The given integrals are;  g) (x2-2x+1)e2x h) x3ex.

Q: 4x2 -6 dx. x - 4x2 Evaluate

A: Consider the given integration as ∫4x2-6x3-4x2dx

Q: x2 + 15x - 10 dx = x3 - 4x2 - 5x dx X-5 x+1 Determine the value for A, B, and C.

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Q: e2x +2e* dx e* +1

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Q: Reciprocal Substitution – x³ )/3 dx

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Q: e -dx x2 a)

A: There are multiple questions. As per company policy Kindly ask other question separately.

Q: 12х-4 3. S dx 2х-1

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Q: 2х-3 dx. (b) Evaluate 3x²-15x+1

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: ' (x5–x³– 6x) dx is the same as x²+2 A |(13- 3)dx |(+3)dx В 4x dx x²+2 D x³+x- 8x dx x²+2 E .3 x'+x-

A: Solution: ∫x5-x3-6xdxx2+2

Q: cln 3 3 že*V1+e*dx =

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Q: 34. I (e3w2 – 1)? dx 1)² dx

A: To integrate  ∫e3x2-12dx=∫e3x22-2e3x2+1dx=∫e3x-2e3x2+1dx

Q: (e 2* –1)2 dx 1. S e 2*

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Q: e'dy e°+ 2 2.

A: Integrate∫ln2ln3eye2y+2dy

Q: (x² - 4) dx x² + 2x² + 2x S

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Q: d. 2x³ + 1 x4 + 2x 12x -dx h. 1 ²x² - 2x + 1 x² dx

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Q: e2x 4. dx e2a + 3e + 2

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Q: Geometric Mean GM = VXi- Xx · ... · Xn %3D Antibo (* E ly X:)-

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Q: .5 X° +2x -Xp- X +1 -3 X° + 2x -dx%(Simplify your answer.) %3D X +1 3.

A: Consider the integral

Q: 2. S(e" + e-3)² dt

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Q: x2 dx e-2x A) 1x2e2x - 1xe2x + 1e2x + C B) 1x2e2x - 1xe2x + 1e2x + C 2 2 4 2 4 4 c) 1x2e2x - xe2x +…

A: Integral given can be solved using Integration by parts second version for one of the function as…

Q: 3) 3x² + 3x³ - 5x² + x - 1 x²+x-2 dx

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Q: 3 5). | e2x dx -1

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Q: * − e| + (e* + e) e 3 |e³ S 0 -dx

A: The absolute value function: y can be defined as: y=-y,y<0yy≥0.

Q: S e3(2e * – 1 ) dx (ear – 2) (e3* + 1) 4 (A) 2e3x – 1 B) 2e 6r – e 3x © (e3r – 2)+ D (e*+1)+ (E ,6x…

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Q: 3. f(e-²x - 1) dx

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Q: e2x dx V1 + e*

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Q: e¬*dx 4 + e-2x

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Q: e* - x e* et dx = 2x2 + constant 2 х

A: To show that∫ex-xex2x2dx=-ex2x+constant

Q: e2x 4. dx e2r + 3e + 2

A: We can evaluate the given integral by using the substitution u = ex  and the following equation.…

Q: (3x + 2)e* dx

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Q: 11) y"-y=- %3D (1+e ")

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Q: x-4 Evaluate dx. (x2 +2x+2) (x-3)

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Q: A ) Find ∫ dx / a2 + x2 B ) Find ∫ x2 + √x - √2 dx C ) Find ∫ x2e-x dx

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…