Evaluate the integral by first modifying the form of the integrand and then making an appropriate substitution, if needed. 6t + 7 dt +C

Q: Evaluate the integral.

A:

Q: xp xy6x -x

A: The given integral ∫1x6x-x2dxThe integral formula,117. ∫duu2au-u2=-2au-u2au+C

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

A: Given integral is ∫9t + 8tdt

Q: Evaluate the integral using FTC I.

A: Given integral is: int03 e1-6t dt We have to evaluate the above integral.

Q: ydy J-7-By-y

A: Given problem:- ∫ ydy/√(-7-8y-y2)

Q: Evaluate the integral using FTC I.

A: To find: The definite integral of . Formula used: Power rule of integration: Calculation: The…

Q: Evaluate the integral. xp S

A: Given,  ∫ x4x5+4dx

Q: Evaluate the iterated integral: , (2x²y + 3xy*) dr dy.

A: Given the iterated integral             ∫-12∫242x2y+3xy2 dx dy Evaluate it.

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

A: Integrate above questions.

Q: 12sin3xcos7x dx

A:

Q: (b)Evaluate the integral directly we-wdw

A:

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

A:

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

A: Here we have to integrate the given integral.

Q: Evaluate the iterated integral I = SoS(6,? + 8x) dxdy

A: Solve the following

Q: Evaluate the integral of 2e2xdx from 0 to 1

A: Our Aim is to evaluate the integral given below:-∫012e2x dx -(i)

Q: 18 z-ya (i) z (x² + y? + z?) dz dydz I =

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

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

A:

Q: Evaluate the integral by making the given substitution. dt u = 1 - 7t (1 – 7t)6' -

A:

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

A:

Q: Evaluate the integral by rewriting the integrand appropriately, if required, and applying the power…

A: We have to evaluate the integral: ∫x57 dx Rewriting the integral, ∫x57 dx=∫x57 dx We know the power…

Q: Use the idea from the integral test to find constants A, B such that Asi+ 1 SB 2021 1/3

A: Note that the function f(x)=1x is monotonically decreasing function for x∈[ 1, ∞). Let n∈ℕ, then,…

Q: dx Evaluate the improper integral Jo Jacx+1)

A:

Q: Evaluate the following integral. +2dx

A:

Q: Evaluate the integral.

A: Given integral  to evaluate ∫25dr1+2r This can be integrated using substitution Substitute 1+2r=x…

Q: Evaluate the integral or show that it is divergent.

A: Introduction -  Evaluating the integral of the given function - f(x) = ∫0112-3xdx f(x) = -∫0113x-2dx…

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integrat u = -7x…

A:

Q: 9. dt 2 -4

A: ∫9t2-4dt=9·∫1t2-4dtLet u=\arcsec12t=9·∫secudu=9lntanu+secuSubstitute back…

Q: II EVALUATE THE ITERATED INTEGRAL. Ll'/x+ydxdy

A: The integration of the√(x+y) and the limit of x from 0 to 3y and limit of y is from 0 to 1.

Q: Evaluate the integral. 13r In(r) dr

A:

Q: Consider the following: ∫( x^4 +3)^2(4xdx) Use algebra to rewrite the integrand by expanding the…

A:

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

A:

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

A: Question is solved.

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. tV9t2 + 10 dt…

A: ∫un du =un+1n+1+C

Q: can i get step by step help please

A: Lets graph the given function, f(x) = 7-|x| For, x = -7, f(x) = 7-|-7| = 7-(7) = 0 For, x = -1, f(x)…

Q: Evaluate / av1 – aª dæ by making a substitution and interpreting the resulting integral in terms of…

A: Firstly we will find the definite integral after that fill the limit  I =  ∫ x*sqrt(1-x4) dx…

Q: Evaluate the integral 13t – 5| dt.

A:

Q: Write the integral in terms of u and du. Then evaluate. tV4t2 + 11 dt, u = 4t2 + 11 (Use symbolic…

A:

Q: Evaluate the integral by rewriting the integrand appropriately, if required, and applying the power…

A: Given, ∫x-78dx

Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ t dt/t4 - t2 - 2

A: Let's obtain the partial fractions:

Q: Evaluate the integral dx (4x + 14) by making the appropriate substitution: u = dæ (4x + 14)* Submit…

A:

Q: Hi, I was wondering how to do this and what the work would look like. thank you!

A:

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

A: Integrating the given function

Q: Evaluate the integral I = P2 dr. "IP

A: We have to evaluate the integral I = ∫12 x3ex2 dx

Q: Evaluate the integral: 10 dt

A: ∫103t dt

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

A:

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

A:

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

A: Solution:

Q: Solve the integral equaher by eliminating the Inkegral = -3+) (3t -3ty(t) dt. = -3 for when ansusemg…

A: Differentiating both sides of equations. Differentiating integral using leibniz's rule.

Q: ds :? V5s+6

A: We use substitution method to solve the given integration .

Q: dz convergant 5Joj Is the Integral or divergent. I

A: