• S (++:) (- 1 x2 – 1 dx - x2

Q: 4x – 3 - 3 Given : | dx x² (x² + 9)

A: Given : ∫4x2-3x2x2+9dx

Q: •2 1 -dx- J-3 (x + 7)(x² + 16)

A: Given integral is Apply partial fractions to break the denominator

Q: 7. Find. V2x dx - 1

A:

Q: /25 – x² (-2x) dx 11.

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

Q: dx 3. 4

A: We have to find the value of the integration                            ∫xy2+x2432 dx Since we have…

Q: Find 3 3x3 3 2Va ) dx - x5

A: here we have to find the integration of given function. the solution is following.

Q: Prove : (x2 + 2x + 2 )dx > 0

A: The given integral is ∫-10x2+2x+2-x2dx The integral has been rewritten∫-10x2+2x+12x2dx Apply…

Q: f(x)dx = 2, 5 and 8 f(x)dx = -5, then, 8 f(x)dx = -3

A:

Q: Find dy dx 2 for x²exy = 5 WA/

A:

Q: (3x -x2 dx 3.

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

Q: 2 27|: r-1-(x-1)° dx

A: NOTE: Refresh your page if you can't see any equations. . ..................(1) substitute…

Q: xsin-1x dx V1-x2

A: We know, ∫udv=uv-∫u'vdv ddxsin-1x=11-x2

Q: -) S xe²*dx .2

A:

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: f(x) = x2 cosh 3x -

A: Simply, I have used laplace transform formula.

Q: Sla 1 z dx |(25 – x²)3/2]

A:

Q: -7, 2x (x2 + 1)dx

A: We can find the integration as below

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: Evaluate the Cauchy principal value of 2 x 50% -dx 8 x 2 (x² + 1)²

A: We have to find Cauchy Principal Value of the given integral.

Q: -3 -dx J2 (x²–1)² 3.

A: The given integral,        ∫23xx2-12dx

Q: 4-x2 dx -2

A: The given integral is

Q: 2x* - X* dx 「奈 3. スx* + 1

A:

Q: 1. [(4-x) dx. -2

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

Q: dx 1- S 4+x2

A:

Q: -4x2 + 21x + 10 - dx = J C x3 + 10x2 x + 10

A: To find the value of A,B,C can be found by comparing by the decomposed fraction which gives…

Q: (a) S v16 – 9x²dx using th - (b) dx using thes V9-x2 dx using the subs

A:

Q: X 3- Ssin ² x dx ។

A:

Q: 1 7) So dx V36- x2

A: Solution of the problem as follows

Q: x7= - 3x + 18 JZ - 54 in (3+ 57) + c 3/2 2 dx = %3D 3 + VX 3

A:

Q: 2-5x-x2 dx (x2-x-6)(x+2)

A: This question is based on indefinite integral.

Q: 4- x²+4 dx ht. 23

A: To evaluate∫x3x2+4dx We can find the integral by substitution method.

Q: 5. Show that (x² + 1)e-* dx = -x²e-x – 2xe-x – 3e-x +C

A:

Q: -1)/(x4))1/2

A:

Q: 3r² + 10x + 7) In (z²+3) dz

A: I am attaching image so that you understand each and every step.

Q: x - 3 7. S V25- (x-2)2 dx 8. S tan5 (2) dy

A:

Q: 3 What is the value of -8e -2x+1 dx?

A: Consider the given integral

Q: х — х* - 3х - 2 X | dx x* - x'+ 4x – 4x 3

A:

Q: b. Find S 5x*(x5 – 1)dx using a suitable substitution.

A:

Q: 2x+5 - dx- (x² – 1)(x+2)

A:

Q: 4. Evaluate -dx. V16 – x2 -

A: Given integral:

Q: by3 (3b² – x²)(1 – x5V3)/3b² – x² dx - -

A:

Q: x-3 dx V16-x² (16-х2

A: Given,          ∫x-316-x2dx

Q: fin (x In (x + x²) dx

A:

Q: -dx. Evaluate ſ &-3)(x*-1) ,. х2-2х-3

A:

Q: | 3tan-1(x)dx = %3D 2프-21n2 In(4) 2/3 None 을 + m2 2 In(÷) | 3 3 - In(4) 6 3

A: Solve by parts method of integration.

Q: x² +x-2 -dx can be resolved into (x2-1)(2x-x²)

A:

Q: ∫[(1/ (x2√(4 - x2))) dx] Please show all work

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: 2-3x dx V2x -x+5

A: Given: ∫2-3x2x2-x+5dx

Q: 2. 16-x dx 2.

A: