d (3ª + e*) dx

Q: d [x² +1] dx x4 d dx -[(x² + 1)5⁰]

A: Topic = Derivative

Q: 1 |(12x5 - 11)dx -1

A: ∫-1112x5-11 dx

Q: 3. Scse*x dx

A: The objective of the question is evaluate the indefinite integral.

Q: –2x x- -dx x2+e-2r A (x-e-2r) x²+e-2x xp- B -2 (х—е -2) x²+e-2x xp- e -2r dx x²+e-2r x²+e -2x D E)…

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Q: 3/2 x+3/2 x² - 2 Show that dx = In 3.

A: Since there are multiple questions posted, we will answer the first question posted (4). If you want…

Q: (4x3-6х) dx 3. S x*-3x²+2

A: ∫4x3-6xx4-3x2+2dx we know that∫f'(x)f(x)dx = ln|f(x)| +cf'(x) =4x3-6x , f(x)=x4-3x2+2

Q: 2x+3 a) S; dx x2-3x+2

A: We integrate the following by using substitution rules and factories the denominator.

Q: 2x2-3х-1 -dx (x²+9)(x-5) E. Integrate:

A: Let's integrate.

Q: | 4.0°e-9* 4x³e-9a* dx

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Q: e2 6. - dx -Find 1

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Q: コ-6 dx 1十XS

A: Given Data: Subdivisions: n=6 Integrand: ∫0311+x5dx Function: fx=11+x5 Lower limit: a=0 Upper limit:…

Q: S- 5e2*dx 9e 4x - 6e2+1

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Q: 5e2x dx e2x + 11e* + 24 + 11e* + 24

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Q: 8. (c) x³e 73e-2x dx 0.

A: To evaluate the below integral. ∫0∞ x3e−2xdx

Q: 6 S(3csc°C+) - &e*)dt

A: Given integration is : ∫3 cosec2t-8et dt To find the value of integration

Q: -e-²* )dx

A: Since you have asked a question with multiple subparts so as per guidelines  we will  solve the…

Q: e4z+1 dx e2r – 1 17.

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Q: 3/2 (-2x + 4) dx J1/2 | 16.

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

Q: e3 3 -dx Find

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Q: a) Evaluate x* - 4|dx and L (x* - 4 )ax. Do you get the same answer for both?

A: Answer

Q: 2x (x-a)² dx; a is constant

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Q: [e2" + 2**]dx

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Q: 12х-4 3. S dx 2х-1

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Q: (2х - 9)4 dx

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Q: (4 - e3 dx

A: We have to calculate the given indefinite integral

Q: 6. e2x dx 3.

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Q: (d) : 2x² – 8x – 13 dx x² – 5x – 6 2.

A: As per company rules we can answer only first question and rest can be reposted

Q: 3 - dx x² – x - 2 (1) (ii) fx'e* dx

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Q: 6. - 2х + 3) dx

A: According to Bartleby's guidelines we can solve only one question at a time. Apologise for the…

Q: (3*-e*) dx Evaluate:

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Q: PO 5.5. -X².11+ y²) xe dx dy

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Q: dy √e²y-1 S

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Q: e'dy e°+ 2 2.

A: Integrate∫ln2ln3eye2y+2dy

Q: ey+5 | ey-5 ولا

A: Evaluate the integral: ∫e5y+5ey-5dy ∫e5y+5ey-5dy=∫e5yey-5dy+5∫1ey-5dy=I1+I2 where I1=∫e5yey-5dy,…

Q: 4x2-5х+6, 3. S(*-*+*)d *“)dx x2

A: We have two types of integrals in general, namely definite and indefinite integrals . The definite…

Q: e2y (е) dy |19+ edy)

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Q: rln 2 e3x dx

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

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Q: 3 5). | e2x dx -1

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Q: | (b) b)5zVE+z-/2 dx.

A: To evaluate the given integral

Q: Evaluate the integral. | (5x² + 8) e-"dx -33e + 18 -33e-1 + 18 -33e-1 – 18 33e-1+ 18

A: Given, ∫015x2+8e-xdx  We have to evaluate the integral.

Q: 3. f(e-²x - 1) dx

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Q: e2x dx V1 + e*

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Q: 9. Find -dx + C

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Q: 2tan-1(x) dx = - In2 2 (b)- In4 (0) + In2 (d); - mn

A: Given:- I=∫012tan-1(x)dx

Q: dx = - 4 In|x| +C %3D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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: 6-6r dx x-3x -2 In|x3 – 3x| + C In|x3 - 3x| + C -1 +C 3(x³ – 3x)

A: The detailed solution is given below Thank you

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

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Q: So-3x)e-3*dx 3.

A: