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Q: Use the substitution formula to evaluate the integral. 3edx 1+ e O A. 7 Oc. - OD. - OB.

A: To find : ∫0ln333e3x1+e6xdx

Q: Carctan 2x) dx | + 4 x²

A: Given:                       ∫(arc tan 2x)21+4x2 dx   We can solve this integral using u and v…

Q: Assuming Cov(X, u) = 0 allows us to equate Exû to zero. True or False? Explain.

A: Solution

Q: find integral csc 3 u  sec u du

A:

Q: K OM = (9 + x) in ; OL = (3x + 13) in %3D %3D

A:

Q: If f'Cx) ="e find all wrical auedy or honilantal Ao

A: Here we have to find the vertical and horizontal asymptote of the function f'(x)=-e1xx2

Q: Lw(s) ~ 1 – Show that 1 is MTTF where

A:

Q: Evaluate the integral. 4tm 2 sin(2t) dt

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Q: ハジ nd the exact lkength of the wnve र 4=1n(seccx)),

A:

Q: Led xe R be such thad Xn→x, show that %3D

A:

Q: Evaluate the integral. 3 9earctan(y) dy 3 1+ y? 3

A:

Q: Evaluate the integral. 3 5ex + 7cos(x) dx

A: Given,          ∫035ex+7cosxdx

Q: Use Euler's method to obtain a four-decimal following: approximation for t (4 y=2Xy, yC)=1; yU5) =?…

A:

Q: The value of the triple integral 0. 0. is

A: Evaluate:

Q: (c.) Evaluate the integral [xV2x +1 dx ?

A:

Q: 12sin3xcos7x dx

A:

Q: Solve the following DE using variable separable 1. dyidx = 4x + xy/y -xy

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

Q: Find o"(x + In y) dydr

A:

Q: Prove that Cosh [m(t-x) Cosh mh 2mL 2mL

A: The given data is: To prove: emx1+e2mL+e-mx1+e-2mL=coshmL-xcoshmL

Q: given that y = 1 eries with h = 0.

A:

Q: Evaluate the integral 9t tan (1) dt

A:

Q: Evaluate the integral. ∫0 π Cos42t   dt

A: Given: I=∫0πcos42tdt we know that 1+cos2θ=2cos2θ similarly, cos22t=1+cos4t2 now substituting value…

Q: Evaluate the integral cot 2x S- Vcot2 2x – 15 V cot? 2x

A:

Q: 28 t2 sin 2t dt

A:

Q: Find dy/dr. y = In(re")

A: Given To find Derivative of y= ln(xex)

Q: O Deltarentiatk with respect () Singe (X+1) (x-)

A:

Q: Evaluate the integral 13t – 5| dt.

A:

Q: Find cosh r In(sinh a)dr.

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Q: Find the indefinite integral 9t dt 9t dt =

A:

Q: Use the Trapezoidal Rule to evaluate the integral fx-¹dx. 1 2|3 NIC 34 2

A: We have to evaluate the integral ∫12x−1dx by using the trapezoidal rule. Here, a=1 and b=2 And…

Q: Let z = 6exv , find dz %3D

A:

Q: of J76-0 do 9 ☺ Sal loe doc

A: To find Integral

Q: Use substitution to evaluate the integral 4 sec2 4xvtan 4xdx 4 (tan 4x) + C 3 15 (tan 4x) + C 2 (tan…

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

Q: Evaluate the following integral. ∫ 2z5e1-z dz

A:

Q: FIND dy AMD dy AMD Gint OF

A:

Q: Compute sec? z + x) dr

A: Given : ∫12sec2x + xdx

Q: Use the calculus of residues to evaluate the following integral: cos20 -de. 2 + cose

A:

Q: Suppose you Know that tand 3/12. Vsing this infe, de tevmine cuhot quadiantdis in dnd Caliulate…

A:

Q: evaluate the integral. 7 te? 1. 5X 2

A: As per guideline we can solve maximum one question ,you can repost other question

Q: lx)にX sit. ors<I prove that inl Guernesto uniterady. Guveryes to

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Q: ne exact length of tne X = Vy (y – 3), 4sys9

A:

Q: Evaluate the integral 3. 2х cos(xy)dydx 2

A:

Q: make the given substitutions to evaluate the indefiniteintegrals. ∫(3x + 2)(3x2 + 4x)4 dx, u = 3x2 +…

A: ∫3x+23x2+4x4dx Substitute the value of 3x2+4x=t. Differentiate the above equation w.r.t "x"…

Q: Evaluate the integral: ( ) sect tan ti +tcos 2t j+sin² 2t cos 2tk 1k)dt

A: the given integral is: ∫0π4sect tant i^ +t cos2t j^ +sin22t cos2t k^ dt we have to evaluate the…

Q: The IHiplicative in verse of 2° tX -I in Zs [x] /is; mu d. nune of

A: Ring Theory.