4 しょx) dn =? Simpliky Thenk you

Q: 7) S fysinx'dxdy 1 ans:- (cosl–1) 6 4 -y

A:

Q: 10. dr S f(æ) dx = Choose...

A:

Q: 2|x~ Bin (wa) X~ TI (Q) = -IN 0 QE [011] you should Find posteria 8201 other wise

A:

Q: (7) In general, (SOT)CSnT.But, (SnT) + SnŤ.

A:

Q: 7. Evaluate. LL sin z da dy.

A:

Q: 77. Use substitution with u = x² + 4x + 3, = (x +2) dx.

A:

Q: cose o3drde =? ans. はは 3一

A:

Q: 25-x2 In dx , if we letu=V25-x² , then udu= – xdx.

A:

Q: appropriate method, beginning with th Bxy' = 6y + 3x¹cos² (²), y

A: Given: 3xy'=6y+3x4cos2(yx),y(2)=0

Q: 2. 17ァーーレス+ら)dx Sim pricy the anw ser =

A:

Q: I Eind. the.indicaled.partia..dorivative.s. .fexny)sin(2x+34). 3,4) Au.. ......

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

Q: 1. Use a trig substitution to evaluate √9-x² 3√3/2 x² -dx.

A:

Q: 19. Use u substitution to evaluate. x5 So (4+x6)³) dx

A: Evaluation of the definite Integral by substitution method

Q: Prove thiat dx Ś (areten()) ) = し 4+X

A:

Q: Sin zt 2 2 7o47 mous

A:

Q: 2. TER-1 to be, Hn E IN 1+r+4---+ 1-r Shoh that

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 2 (4-x² r² dzdydx Q5: Find Si * S,

A: We have,∫02∫04-x2∫x2dzdydx=∫02∫04-x2zx2dydx∫02∫04-x2∫x2dzdydx=∫02∫04-x22-xdydx

Q: Jósec? 30/3+2 tan 30d0 8.

A:

Q: By using the substitution u = VT + 2, evaluate 6+ 3 dx. ¤(/I+2)²'

A:

Q: d) f(2) = In (In z)

A: As requested 4(d) to be solved 4(d) fx=lnlnx

Q: కషిద్టి చవీ / tangent s lope rosin (20) when Jot 5 2) 653 3. not of the above

A:

Q: I sin =Tan e tane Bino e

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: dz IV100-49(In z)?

A:

Q: S duing likcr diferential equating dX 24

A:

Q: In 8 et dx 64 + e2x In(1/8)

A: The integral of f'(x)f(x) is, ∫f'xfxdx=lnx+c ......1   The subtraction of logs, lnx-lny=lnxy ......2…

Q: 2. y = Arctan

A:

Q: Problem 27

A: To integrate

Q: 3 sin y prcos y 2. xdzdxdy

A:

Q: 2. 2 in 12 in Vulume

A:

Q: 70. Use the fact that (b*) = (In b) b* to prove that (ek*) = dx dx kekx. ||

A: Differentiation rules help to prove the required. The given fact helps to prove the required. Chain…

Q: 2. Sin odo Fla

A:

Q: So" (8 + 4 co entage error in nu n the Trapezoida

A:

Q: rtain spring 12 in., how far will the

A: Given that the stretch in spring is directly proportional to weight placed at the end. let  w =…

Q: If u= In x, then 1- (In x)2 dx=?

A: Find your answer below

Q: o evaluate (In x)² +3 dx,

A: answer is in next step  option C is correct

Q: cln 2 In 5 e2x+y dy dx Jo 1

A:

Q: 6. dyda ydyda 2R Sys of 37 15D to

A: Formula Used:-(1) ∫a2-x2=xa2-x22+a22sin-1(xa)+c(2) ∫xa2-x2 dx=-(a2-x2) 323Consider,A=∫02R∫0R2-(x-R)2…

Q: 2) у(и? + 1)du + (из — Зи)dy — 0 -

A:

Q: 25 -x2 -dx, if we let u=/25 – x? , then udu =- xdx. In A) True B) False

A:

Q: Evaluate az+1)in(d.r+1)dr. 1 dx.

A: The integration function is ∫14x+1ln4x+1dx

Q: 11. Evaluate. Leave answer in exact form. S, 2xv7 – 5x dx |

A:

Q: 10. S sinh rai tanhxainhr-tenha -dx

A:

Q: 13. Use a u-substitution to evaluate /x²/(x³ – 2) dx

A:

Q: If u In x, then 1-(In x)2 dx =?

A:

Q: A is a point of tangency. What is TN? 16 12

A: Given a circle where A is a point of tangencyy. AT=16 and AN=12

Q: 9. For what value of k, k> 0, does (4kx-5k) dx = k² O 1 O 2 3 O 4

A: On solving this we will get

Q: 0.2+ 25x+ 3x2) dx

A: Simpson's 13 rule: ∫abdx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn)   Simpson's 38 rule:…

Q: e? If u= In x, then 1- (In x)2 dx=?

A:

Q: 5: Derive the formula for trapezoidal Rule to evaluate ff(x) dx

A: