sinh x 20. 1x1-3 A) 2. B)-2. D) 0.

Q: S. | sech (Insinx) cotxdx=2tan - (sinx) + C

A:

Q: g(x) = 7 sinx, [0, π], 6 rectangles

A:

Q: 4 -1 sec J2

A:

Q: Using appropriate substitution, S [sec³ (2x) – 2] tan(2x) dx is equal to

A: integration

Q: - sin² ydy 6. 4 tan" y

A: As per the guidelines I can solve only first question

Q: sketch > reverse , the then evaluate inlegration 2X (4 x+ 2) dydx X 2

A:

Q: Sec2(3x)=4 in the interval [0,2pi]

A:

Q: x5tan(x²) sec²(x²) dx

A:

Q: t2(sinh 2.75t – 5)

A: (3) Given t2sinh2.75t−5 We have to find the Laplace transform of t2sinh2.75t−5 That is…

Q: tan25x dx 4sin25x-4

A: Simplify the integral ∫tan125x dx4sin25x-4 using the trigonometric formulas (1-sin2x)=cos2x and…

Q: Giyen (x +2yi)(-4j) = _ei, solve for x and y. Express the result in rec- tangular form.

A:

Q: り plot s XE[-2T,27] Sin3X „Cas2X,

A: a.  Given function is, f(x)=e-x2 We find that f(0)=1 and when x→±∞, f(x)→0 So, the graph will be,

Q: 7. (a) cosh?1 (b) 2 sinh² 20

A:

Q: (answer three only) In(x² +x)-tnx-enx 3-5- In(e1) dx

A: 3. We need to solve, ∫lnx2+x-lnx-elnxlnex+1

Q: 2. Which is equal to sec 36°? Csc 54° sec 54° Csc 36° sec 126°

A: We have to choose correct option and here using trignometry ratio

Q: sin(16x) = D² +256

A: It is particular integral problem If the rule fails then we differentiate denominator and then apply…

Q: 2x d tdt da

A:

Q: (4x +4K H0)?

A:

Q: q-Sin ²1x1 1²/x/_alx

A:

Q: cegrate by trigonometric substitution: dt (4x² +9)**

A:

Q: dx x2 — 2х — 4

A: I=∫dxx2-2x-4=∫dxx2-2x+1-5=∫dx(x-1)2-52

Q: Eactor of (xy? +

A:

Q: dz (Your answer should be in exact form.) Add Work

A: To Evaluate: ∫3∞x·e-3xdx

Q: r2+vZ 1. =dx |4x – x²

A:

Q: Use geometry to evaluate f(2x+5)dx

A:

Q: cscx - sinx 1 + cost 84. (csct + cott) %3D 1- cost

A: transform the equation on the LHS using trigonometric formulaes

Q: coth*(sin 3z) 12) zp- V1- ? 3z tanh

A: Integration of given function

Q: sinh e Incot3x h- dx St 1+9x²

A:

Q: A stone, projected vertically upward with initial velocity 112 ft/sec, moves according to a = 112+…

A:

Q: Solve PDE, Sike ODE am 2112+914+ 44=-3c0sx – 29 sinx

A: Given: The Equation is 2uxx+9ux+4u=-3cosx-29sinx

Q: 5x3 b. y = %3D x3-sin x

A:

Q: dx 7. J x3 Vx2-4

A:

Q: 5) y = tanx secx 6) Y = b x+1

A:

Q: solve cosh2x= tanh!

A: The equation is solved as shown below

Q: ㅠ St tan5 (2x) sec² (2x) dx

A: Given:∫π2πtan5(2x)sec2(2x)dxsubstitute u=tan(2x)differentiate on both sideswe know that…

Q: 377 sincx) -7Y Coscxe 21

A:

Q: Use FTC I to show that x" dx = 0 if n is an odd whole number. Explain graphically.

A: Given: show that ∫-11xndx=0 if n is an odd whole number we know that  ∫xndx=xn+1n+1+c…

Q: cosh?x-sinh²x = 1 %3D

A:

Q: Sesch (sinhtx) sech4x

A: Given integral, ∫cschsinh4xsech4xdx To evaluate the value of the integral.

Q: y=−2+4sin(x2−π) sketch

A: We have to draw

Q: х3 sinxdx n= 8

A:

Q: Use Residue theorem to evaluate dx -- x2- 8x + 17 00

A:

Q: 5. y = tan 5x %3D

A: Given that y = tan5x sketch the graph. Here i attached solution of this question.

Q: Fin x when sinx=√3/2

A:

Q: Prove that..

A:

Q: 30 sin (30²) d0 %3D

A: ∫3θsin(3θ2)dθSubstitute u=3θ2→dudθ=6x→dθ=16θdu=12∫sin(u) duWe know that ∫sin(x)dx=-cos(x)

Q: using an appropriate su OTE: Enter the exact answer. 4 | - | dx - 4 (1 – 2x) ¹ +C

A:

Q: Q 2. Determine (i) (ii) fe- sin tdt. (iii) dr -2r-7-

A:

Q: x dx x2 + 16

A: