Evaluate the definite integral. 2 e 1/x4 dx x5

Q: dx I = a² +x²

A: Given query is to find integration of the expression.

Q: Evaluate the definite integral. e4 dx xylnx

A: We can evaluate the integral as below.

Q: e*dx 1+e

A: Given integral,

Q: 71. Perform the following definite integral. 2 (1 – e-x/2) dx x=0

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Evaluate the definite integrals. 7/4 a) z tan(x?) dx b) [ 5a*e dx

A: (a) ∫0π/4xtanx2dx Let, u=x2 The derivative of the above equation. dx=du2x The lower limit is, a=02=0…

Q: Evaluate the definite integral. e !/x5 dx 1 to

A: We have to solve integration by put  1/x⁵ = t

Q: b) S(x3 + 3х — 1) dx

A: we have to find integration

Q: X 17. 7. So (x²+ + 2)² dx

A: Topic = Integration

Q: 71. Perform the following definite integral. 2 |(1-e-/2) dx = x=0

A:

Q: Evaluate the definite integral (4x + 8x+1) dx where A is a constant greater than 2. (a) 4A3 + 8A –…

A: we have ∫2A4x3+8x+1dx   we have to evaluate this integral   and we have to apply limits…

Q: 23 dx 'e xyIn x

A:

Q: D) Calculate the following definite integral: [* (/{√x - 1) dx

A:

Q: Find the indefinite integral.

A: Formulae used: aman=am-n1an=a-nddxex=ex∫xndx=xn+1n+1+C

Q: dx I = е. a² +x²

A:

Q: Evaluate the definite integral.

A:

Q: 2 Evaluate the definite integral S: 1 dx. 1 x+a2 ter -17 a- 19

A: solution:

Q: Refer to the definite integral to answer the following questions 3 1² (2²) (x²) dx

A:

Q: [2 + s= 1 Lx-a (x-a)k] dx

A: Explanation of the answer is as follows

Q: 7.) Evaluate the following definite and indefinite integrals a.) ò (5-2x* -2x*-cos.x)dx +6x)dx b.)

A: Follow step 2

Q: How to evaluate this definite integral: ∫[e^3, e]  (3((ln(x))^3) / x dx

A: The definite Integral will be solved by substitute method

Q: Evaluate the definite integral. ra2/9 x° + a² dx (a > 0) 3 20 27

A:

Q: Evaluate the definite integral. 1/2 + a? dx (a > 0)

A:

Q: (3) Evaluate the definite integral e + e -dx

A:

Q: 3. In x (2) d.x

A:

Q: Find the indefinite integral of 1/3 e x dx

A: Given indefinite integral is: I=∫13exdx We have to integrate the above with respect to x.

Q: Evaluate the following definite integral. a) 3 dx 2x +

A: Given: a  ∫142x+3xdxb  ∫π/3π/2sec2x2dxc ∫01e1-xdx

Q: Find the following definite integrals. e" dx x=-4 3 In x d.x x=D1 |3D

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: Evaluate the definite integrals a) (бх? — - 2x – 10) dx = / (x+ 4)² dx = b) 1 c) (x* – x³ ) dx - ||

A: Some of the properties of integration  ∫abf(x)dx=F(b)-F(a) ∫xndx=xn+1n+1+C…

Q: Evaluate the indefinite integral. Type pi if you need n in the answer. x7/2 4x5/2 - 1) dx = +

A:

Q: e +1 dz e + z

A:

Q: (e 2x -1)2 dx 1. e 2x

A: A detailed solution is given below

Q: Evaluate the following definite and indefinite integrals. (a) / sin(x) cos(x)ešin(=) dx (b) L. V5/2…

A:

Q: Find as many integrals as you can using the formulas and techniques you have studied.…

A: (a) part Consider the given integral ∫dxxx2-1 Use the substitution method to find the integral…

Q: Evaluate the definite integral. 'al/3 x5, х6 + а? dx (a > 0)

A:

Q: Evaluate the definite integral. e4 – x dx 14

A:

Q: Calculate the following definite integral. (e2 +x+ 2)dx

A:

Q: Evaluate the definite integral. 7e +1 '2 x e4x dx = 16

A:

Q: Evaluate the definite integral. 1 e dx

A:

Q: 3) Evaluate the following definite integral : x 1 + x dx

A: We are solving the first question and for the next question post the question again andalso mention…

Q: e2 dx -2

A:

Q: 15. [sec xdx

A: Trigonometric Identity: sec2x=1+tan2x

Q: L(3x+e")dx Jo

A:

Q: Evaluate the definite integral. e2 - x dx

A: The given integral is as follows. Let u=2-x. Then, du=-dx. The Lower limit will be u=2-2=0 and the…

Q: 7. Evaluate the definite integral by hand. x dx -1 x' +1

A:

Q: Consider the definite integral 10 300x dx 1+ e*

A:

Q: Evaluate the following definite integrals. 4. , kr+2/dx

A:

Q: Evaluate the definite integral. e 1/x dx

A: Now consider,

Q: Evaluate the definite integral. e + 6 dz e? + 6z

A: We need to evaluate the following limit ∫01ez+6ez+6zdz                             .........1

Q: evaluate the given integral.

A: To evaluate the integral: ∫ x2e-xdx Formula used: Integration by parts: ∫uvdx=u∫vdx-∫dudx·∫vdxdx

Q: Evaluate the definite integral. Son f (x) dæ, ƒ (x) =6e" /(4+e*)

A: It is known that: ddxekx=kekx∫ekxdx=1kekx+C