Evaluate the given definite integral using appropriate substitution: 2xdx 2 ... © 3V2 ... © 4V2 3

Q: Evaluate the following definite integral, 2 x(2-x)99dx = %3D

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

Q: Evaluate the integral using the following values. 1x30 ³x³ dx = 960, 3 f(x-15) a x xax = 24,ax = 4

A:

Q: Evaluate the following integral using trigonometric substitution. dx x>8 Vx-64

A:

Q: Use an appropriate substitution to evaluate the following definite integral:

A:

Q: Evaluate the definite integral.

A:

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

A:

Q: V1+x² 17.

A:

Q: Evaluate the following definite integral by using suitable trigonometry substitution: √2√3-2² dx.

A:

Q: tan 5v sec 5v dv

A: Consider the integration  I=∫tan 5v sec 5v dvOrI=∫sin 5v cos25vdv

Q: Evaluate the following integral using trigonometric substitution. 1 2 dx 3 - (4x +1 )

A:

Q: 1. x +4 √x -dx

A: We will use substitution method.

Q: Evaluate the following integral using trigonometric substitution. 7x dx (36 + x²)?

A: Then we integrate by substitution

Q: 1 V3 - 4x2

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

Q: 4. dx +

A:

Q: Determine the following indefinite integral.

A:

Q: 2. dx 1+√√x

A: integration

Q: Evaluate the following integral using trigonometric substitution. 713 2 dx 2 V49 -x²

A:

Q: Compute the following integral. Simplify the answer to a single value in lowest terms. 1 S (x^2) /…

A: Given information:  The integral is  ∫01x23x3+1dx. Concept Used: The power rule of integration is…

Q: Evaluate the given integral. Use exact values. 7x2 26x +23 d.x (x - 1)(x – 2)“ %3| +C

A: The given integral,           ∫7x2-26x+23x-1x-22dx

Q: 5. -dx 1 + x

A:

Q: Evaluate the following integral using trigonometric substitution. dx (36 + x?)?

A:

Q: Evaluate the following integral: Stan x sec³ x dx

A:

Q: Evaluate the definite integral.

A:

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 using trigonometric substitution. 12-9 (x, x>3

A:

Q: Evaluate the following integral by using substitution ∫4x/√(x^2+1) dx   limit: 0 to √48

A:

Q: Evaluate this definite integral using a Geometric Formula: J(8-2x dx

A:

Q: Evaluate the definite integral. 5. ti j til dt

A:

Q: x n x dC

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

Q: dx ax + b

A:

Q: Find the following indefinite integral. 12 xp. 12 dx = xp.

A:

Q: 33 = 1-

A: Here we evaluate the integral by using substitution method    ∫ dt/(1-3t)7 , u = 1 -3t

Q: Evaluate the following integral by using the substitution method ∫(sin√w)/√w dw

A: To find the integration (sin√w)/√w dw

Q: Evaluate the following definite integral: F () 25 3 da = Number

A:

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A:

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: xdx (x +1Xx+ 2)

A:

Q: Evaluate the integral using the following values. x³ dx = 260, x dx = 10, 9. dx = 2 10 xp

A: The given question has been solved in detail

Q: Evaluate the definite integral (et, et,1) dt

A:

Q: Evaluate the following integrals using Integration by Substitution. 9. S tanx dx

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: Evaluate

A:

Q: Evaluate the following integral using trigonometric substitution. хах Vx2– x – 1 а.

A:

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

A: Now consider,

Q: Evaluate the following indefinite integral.   ∫csc^2x/cot^7x dx

A:

Q: -32 1 ย X

A:

Q: Evaluate the following integral using trigonometric substitution. S- dx 2 441-x

A:

Q: Evaluate the following indefinite integral. 2 dz 28 +C

A: ∫zn dx = zn+1n+1+C

Q: Evaluate the given definite integral using appropriate substitution: V2rdr = ... A ... B ...

A: We have to solve the Integral

Q: Evaluate the following integral by using the substitution method sinvw dw M.

A: ∫sinwwdw We need to Solve the above integral by substitution

Q: 3 x³(16 + x²)Zdx Let x = 4 tan 0

A: This question is based on solution of indefinite integral by substitution method.