Evaluate (from 2 to 5) ∫(5x2+5)/x2 dx

Q: 5. Evaluate: (а) ( 5х* -х-4) dx (b) f( 2x +4)(3x + 6)dx

A: 5. (a) We will evaluate the integral ∫5x2-x-4dx

Q: 2. Find the value of 1 3x + 13 x² + 4x +3 dx

A: We can you valve the given definite integral by using the partial fraction method.

Q: 3 Evaluate: (-x² + 4x – 1)dx 1

A: Solution:To find the definite integral:Formula:∫xndx=xn+1n+1+C

Q: 9. Evaluate -2x +9x-1 dx (x² – 2x +1)(x +2) -

A: Solve the problem using partial fractions

Q: Evaluate f -dx is equal to x In 3x

A:

Q: Explain how to evaluate x/2 dx.

A: Integration is the process of finding the antiderivative of the function. It calculates the volume,…

Q: Evaluate the integral (4x -7/13 – 5x13)dx. „7/13 (4x -7/13 - 5x13)dx help (formulas) -

A: We first distribute the integration

Q: evaluate the ntearal 4. (メースdx 3.

A:

Q: Can you help with this problem step by step?

A:

Q: Evaluate: (7-j3)ln(cosh(2+j5))

A: Needed Formulae, coshx=e-x+ex2 lna/b=ln(a)-ln(b) ln(a×b)=ln(a)+ln(b) To solve, (7-3j)lncosh(2+j5)…

Q: Evaluate 1 foto dx. 6 + e-4x -dx 1 6+e - 4x = + C

A: Given : ∫16+e-4xdx To find: Evaluate the given integral

Q: -12 3 dx 12-x

A:

Q: intergral 4x^3(x^4+12)^17 dx

A: We are going to use integration by substitution method

Q: 17. fe-Inx √√In x² dx 3

A:

Q: (2x³-9x²+2) dx from x = 6 to x = 11

A: Given: ∫2x3-9x2+2dx   from x=6 to x=11

Q: 7- dx L₁EV xV1 + (In x)²

A: Here we will use the substitution method

Q: Evaluate by any applicable method. 1/2 5-x So dx 4x2+1

A:

Q: cosh(2x + 9)dx

A: on doing integration with respect to x we will get

Q: 1 dx VI+ 7x 14. 0.

A:

Q: Evaluate: ³4₁ [2³(x + y)³] dz dy dx

A: To evaluate the given integral.∫-43∫-12∫01z3x+y3 dz dy dx

Q: Evaluate the integral. 9 (x2 + 2x − 7) dx

A:

Q: 4 dx x2 4x2 - -- x2

A:

Q: 4. (2 - x)² In(4x) dx

A: Value of question (4) is 27ln(12)-21ln(4)-269 see below the calculation As per bartleby guideline I…

Q: dx x √16-x² dx

A: To find out the integration.

Q: 1. dx x-19-x

A: Given :∫dxx49-x2

Q: 1 dx, x > 2 x2 Vx2 – 4

A:

Q: -1 | In(-x)dx -7

A:

Q: Evaluate Th - dx ¹1+x

A:

Q: 3 3 25x ? 2 7x3 3 16х5 dx 5

A: use property of integral to solve this.

Q: . Evaluate 1 4-x² dx

A:

Q: Integrate x sqrt of (x+4) dx using algebraic substitution

A:

Q: Evaluate 2х— 7 -dx J x2 — бх + 10

A:

Q: 3) Se-*.cosh(2x) dx

A: cosine hyperbolic function we can write in terms of exponential function Coshx= [e^(x)+ e^(-x)]/2

Q: Evaluate (from 3 to -3) ∫(x−1)(3x+6)dx

A:

Q: 4 dx is equal to: xv16 - x2

A: we have to find the following integral

Q: 3. 43. dx 2 - x (1,0)

A: 43) We have to solve the following differential equation at the point (1,0). dydx = 32-x

Q: 41Stañdx= Q22x+1 X'+2X+1

A: (1) Given integral is ∫tan−1xdx It can be written as ∫tan−1x⋅1dx Use integration formula…

Q: A) Evaluate 1 dx. I vit 6x – x² -

A: In this question we will use basic of calculus i.e concept of integration. First we will convert the…

Q: cosh (x – 3) dx 8 – cosh² (x – 3) 18. 12

A:

Q: x²+2 dx x+2

A: We can solve the integral as below.

Q: 3 dx xV9- (In x)2

A: Let's find.

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

A:

Q: Evaluate and simplify. L dx 1 V1-2x-x²

A:

Q: Assignmant Indegrat 32. 2. dx 3) d2

A:

Q: Evaluate ∫x3 √(1 - x2) dx using a u-substitution

A: It is given that,∫x31-x2dx     We have to evaluate using a u-substitution.

Q: Q1: what is on (3x) SI2 dx x2

A:

Q: 2. Evaluate 4 dx . 2 x²- 36 -00

A:

Q: . Evaluate [(x+2")*de 2*)² dx 2.

A: Since, I=∫x+2x2dx Then,  I=∫x2+2x2+2×2x×xdx=∫x2+22x+2x2xdx=∫x2+4x+2x2xdx

Q: Evaluate dx using appropriate substitution. Verify your answer by differentiating. an 1+ 2¤²

A: Given,           ∫x2x21+2x2dx