v. (7x² - 3x +)dx S, 4x In x dx L(3xe*)dx VI. VII. dx VIII.

Q: intergral xe^-3x dx

A: We have to integrate the given function, ∫xe-3x dx

Q: /25 – x² (-2x) dx 11.

A: 11. According to question,Given integral,∫25-x2-2x dx

Q: 1 dx 4x 12 /-

A: Our Aim is to integrate ∫2314xdx -(i)

Q: .2, Sx² Vx – 1 dx

A:

Q: 12. S dx 2x3 x++1

A:

Q: 3x aluate: S dx X+10x+30

A:

Q: EX Fin d 1-3X dX -3x) dx

A:

Q: Evaluate the integrals

A:

Q: Integrate dx/(16-x^2)

A: By using partial fraction,we calculate the given integral.

Q: •5 b) 3 -dx x – 3

A:

Q: (4 dx 2 2X Sxー X-I

A:

Q: 2 S(4x3 + )dx x+1

A:

Q: 7. What is dx (x six(x)?

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: d.) s 2x+3 x243x-1 dx

A:

Q: Integrate: a+2– +2x²-1 dx

A:

Q: 1.Jx' dx 2.1-dx X 3.18x²dx

A: Topic = Derivative

Q: 2x* - X* dx 「奈 3. スx* + 1

A:

Q: ,3 dx 3 Vx²-16

A: Given integral I=∫x3x2-163 dx

Q: Sx sech2 x² dx

A: Given:  Integral of xsech2x2

Q: S¥×(2x³ + 1)dx 3,

A:

Q: 4. Evaluate: - V16. dx 16 x2 -

A:

Q: coshx 1. S –dx 2+3sinhx

A: "Since you have posted a question with  multiple subparts, we will solve first question for you. To…

Q: uate the integral. 9. (x2 + 2x – 5) dx 4.

A: Given query is to find the value of the integral.

Q: Find: Sx³. (x* + 2)3 dx

A:

Q: 14) S(3x + 2)v5 – x dx

A:

Q: 2х + у dy 3+ 3у? — х dx 3.

A:

Q: Differentiate. y= In [(x+7)* x + 8)®(x +2)°] dx

A: Given y = ln(x+7)4(x+8)6(x+2)3

Q: integrate [7x ^ (- 2/3) + (x + 2) ^ 2] dx

A:

Q: 2 sec* dx

A:

Q: ) ㅠ S tan5 (2x) sec² (2x) dx 2

A:

Q: sech x dx , 0 < x < 1

A:

Q: 8 11xe-x dx

A:

Q: D. L (x3-4x) dx + (-x + 4x) dx

A: " Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: dy/dx of ln(4x^3 -x^2 +2x+7

A: Answer is given below..

Q: 4 dx V1- 25x2

A:

Q: Find ∫ 3/1 (x^3 +2x) dx

A: Consider the given integral

Q: d/dx  (x2/ex)

A:

Q: 9. S." §, x*V9-x dx 16 dx Vx-2 10.

A: We need to evaluate the given definite integrals, to sove we will use the substitution method.

Q: 2 Evaluate || dx +4x+3

A:

Q: 3 dx 4. = 2/3 V3-x 0,

A: Solve the problem by substitution. Substitute 3-x=t

Q: 5 S Ix² x- 6|dx -5

A: The given integral,            ∫-55x2-x-6dx

Q: Find 2 dx *- dx x+1 4. dx 3.

A: y =(x+1/(x+1))2 y = (1/x+1)2 y = 1/(x+1) dy/dx = -1/(x+1)2   4 y = x2/(3x2 - x3) y = 1/(3 - x) dy/dx…

Q: Vx2-3 dx , x > V3, is equal to:

A:

Q: Vsin² 2x dx =?

A: Given ∫02πsin2 (2x) dx Remember sin2 (2x) is always positive. Thus, sin2 (2x) should be positive for…

Q: dy Flnd - of x³+y³=6xy dx

A:

Q: 1.ſ(8x³ − 6x² + 12x − - -9)dx

A: Solve the integration

Q: Sel+x3/2 Vx dx ,1+3 X,

A:

Q: Sse sech²xtanh²x dx 2.

A:

Q: 3. dx 6X dx VT-x2 1-x² Et2

A:

Q: 2) dx 4. - |

A: We can use method of substitution in order to solve the problem problem.