dx (6-х?)3/2

Q: Evaluate the following integrals. /(-7= + 7" + x° + 7 7 dx

A:

Q: Evaluate the following integrals using Trigonometric Substitution: x-1- 16x dx x 2. dx 9 dx 25t2 - 1…

A:

Q: S In x dx

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

Q: 1 L (3x2 – 6x + 9)dx 1. 3 H/3

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Q: 4. Se* (e** +) dx

A:

Q: Evaluate the following integrals, Debe Justify all steps. x + 4 dx x3 + 3x2 – 10

A: Let's find the factors of x3+3x2-10 using the roots of equation. We can use Cardan's method to…

Q: Evaluate the following integrals.∫(x/3√(x+4))dx

A: Now put

Q: e sec (e*)dr

A:

Q: x+5 dx |

A: ∫x +5xdx

Q: 7х—1 dx х2—х-6 х-1 dx х3—х2—2х

A: Given ∫7x-1x2-x-6dx

Q: Evaluate the following integrals.

A:

Q: Solve the following integrals with detailed steps: dx а. x²/4+x2

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Evaluate the following integral: ∫ x+8 / x^2+6x+12 dx.

A: ∫ x+8 / x^2+6x+12 dx.

Q: Evaluate the following integrals.

A: Given: I=∫x10xdx for evaluating given integral, we will use integral by parts theorem according to…

Q: Evaluate the following integrals.

A: Solution -  Given integral -  y=∫56x(x-5)10dx Let, t=x-5differentiating on both sides w.r.t…

Q: (x+3)² dx (x+1)3 viii.

A:

Q: dx (6-x²)3/2 TT

A:

Q: ( ? (5x?) dx 2 xtan(5x?)Sec

A: Integration is the reverse process of differentiation in which we have to do continuous summation of…

Q: Evaluate the following integrals using FTOC. 6. (Зх + 7) dx 10. (2+ 2x) dx

A: We need to evaluate the integrals using fundamental theorem of calculus.

Q: Evaluate the following integral by completing the square: dx . x +6x + 13 .2

A:

Q: (2х) dx a(In x) + cos(ln x)]² 10 In(3x) - (In(3.x)

A: We have to find the indefinite integral

Q: -4x dx | xe

A:

Q: Evaluate the following definite integral: 25 8 dx = 13

A: Given, the definite integral

Q: dx 5. (x+100)/x+99

A: A common integration is, and a common differentiation is, Also,

Q: Solve for the integral of the following using substitution and integration by parts. ∫2x3sin(x2)dx

A: This question is related to indefinite integration, We will solve it using given information.

Q: x n x dC

A: Integration by parts : THe formula for integration by parts is given by where u and v are…

Q: 69. x³e2* dx.

A:

Q: evaluate the following integrals

A:

Q: Evaluate the following integral.

A:

Q: Evaluate the following integrals 32-1 x + 2 dx +-² +1

A: SOLUTION-

Q: Se****dx ,2x+e* vii.

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Q: Evaluate the following integral by using the substitution x= 6sin0: 1 dx XV36-x²

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Q: Evaluate the following integrals. 1) La7 dx Ans. 4 1 v1-2x-x2

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Q: dx (6-x²)3/2 S"_ tan (x)dx

A: On solving these integration we will get

Q: Evaluate the following integrals using Integration of Exponential Functions. 12. dx 13. [ 2** dx

A:

Q: Evaluate the following integral: in4 sinh x dx

A: Use another form of sinhx

Q: x°V4+x°dx

A: The question is taken from the calculus in which we have to find the integral of given question so…

Q: (х+4)dx х2+2х+5 dx х2-2х

A:

Q: 1 36* dx V6* + 3 2x dx x2 + 2x + 5

A: The given integrals are: ∫0136x6x+3dx and ∫2xx2+2x+5dx

Q: Evaluate the following integrals by interpreting each in terms ofareas.  integral 0 to 3  (x-1 ) dx

A: Given: The integral ∫03x-1dx, To evaluate: The given integral by interpreting in terms of area.

Q: Evaluate the following integral by using appropriate method. an 3x2 dx x² -25

A: Given:  f(x) =∫3x2x2-25dx                   =3∫x2x2-25dx      By using trignometric substitution Let…

Q: x² dx V(a? – 8)5

A:

Q: Evaluate the following integral. 00 dx ,2 x + 6 1

A: Now consider,

Q: Evaluate the following integrals |(x*/3x3 – 4 dx

A: Here, the function of x inside the square root on differentiation gives the function outside the…

Q: Evaluate the following integral or state that it diverges. 00 4 2 sec dx

A: Given

Q: Evaluate the following integrals.

A: we have to evaluate the integral ∫9161+xdx

Q: 5xdx x2+8 7x+8 x+2 dx J x2+2x+5

A: Solution is given below:

Q: Evaluate the following integral 1 dx (x – 5)²(x + 3) a

A: We have to evaluate the given integral    The given integral is   ∫1(x-5)2(x+3)dx

Q: Evaluate the following integrals using Trigonometric Substitution: 1. X-1- 16x dx

A: Given integral: ∫x1-16x2dx

Q: Зх-5 (x-3)(x-1)z dx

A: