dy in the expression dx Determine A. sech xy = sinh xy -1 ху — sec ху

Q: 4. e2x sin e*d x, use algebraic substitution

A: Given :  Intergral ( e2x sinex dx)

Q: x6 cos(x³) A) True B) False |dx=0

A: We have to check by even or odd function

Q: a dx =? (1+sin x)sin x

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Q: tan-1 (xy)=3x2+sin-1(y) find dy/dx  this is the correct question sorry.

A: To find: the derivative of the below equation.

Q: dx a sin x+b cos x

A: Given problem:-

Q: Homework I. Find dy/dx of the following: 4. y=V1+In²x 5. y= sin (In.x) 6. y = In(Inx)

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Q: (글) 2sinh -dx = Select one: O a. co cosh O b. (글) sech tanh d. csch

A: Properties used, a) Sinh (-x)= Sinh x b) Cosh (-x)= Cosh x c) ∫Sinh x dx= Cosh x +c

Q: S "sin(em sin-3) dx – cos( sin-!x) + C 1-x2 A True B) False

A: SOLUTION-

Q: i. L x² 8(x – a)dx ii. L,7t? cos t 8(t)dt L,7t? cos(t – 2) 8(t – 2)dt iii. -

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Q: 39 Find 3+e" - dx. a) b) sin' xcos x dx

A: Given that:                               (a)∫013+exexdx(b)∫sin2x.cosxdx

Q: L1 {a/[S(S + a)]} = (A) a sin at (в) 1-е^at с) е^at (D) sin at

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Q: sin y dy dx If 1 for some a > 1, then the value of a is y 0 x

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Q: e (1+x) sin (xe" )dx Evaluate sin (xe) +sin

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Q: Q2/I2 2 =1 xy+y" x = Cose y= Sine find the %3D » e = 7.

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Q: 1 |Leax sin(bx)] eax [a sin(bx) – b cos(bx)]+ C * Using the formula dx = ах a² + b². Sie [e-8x…

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Q: find the derivative of y= ln | sinx |

A: Given,

Q: dx A. 1+cosx

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Q: a | sin(Inx)dx =x[asin(lnx) + dcos(Inx)] + C Find: a + B + 8

A: Here, to evaluate: I=∫sin (ln x) dx...(1)

Q: 9- x2 dx using Trigonometric Substitution what is dx ? x2 Consider 3 sec e de 3 sec? e de 3 cos e de…

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Q: - 2% sinhy la = 10 - e sinhl22) Then dy Ax

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Q: (c) x³ cos(x²) dx. (Hint: start by using appropriate substitution. an

A: the given integral is: ∫π2πx3cos(x2) dx we have to find the value of the given integral.   let the…

Q: . t'e-t + sinh(t) te2sin3t + tsin5t + 4(-1)² t2 sint + sin (3t + 2)

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Q: e9iz -dx = A+ iB.Then sin9x dx =? x2 + 81 x2 + 81 -00 00

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Q: dx 3. S. 5sin x+12 cos x

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Q: e 9. cos(x) dx - " sin(x) dx. Evoluate

A: Formula:∫ cos x dx = sin x + C∫ sin x dx = - cos x + C

Q: +6 cos(x³) A True B) False |dx=0

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Q: dx =0 cos(x³) A) True False B

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Q: r= sin E-0) in first quarter.

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Q: 3. Solve the ODE using Separation of Variables. y². dy = (y² +1) - sin x dx

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Q: Find dy. Do not simplify your dx answers cashy (x² + + 7) = x curt y² 1. COS -241

A: As per the instruction, we will be answering only the first question. For (1),…

Q: (ii) Evaluate J dx. COS TI

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Q: L {t®e-%t} L{e-t cos 2t} L {2e3t sin 4t}

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Q: x6 cos(x³) (A) True (B) False |dx=0

A: We will solve the problem

Q: sin(x) d Find (S sin (4 t) dt). cos(2)

A: Use the concept of derivative of an Antiderivative.

Q: 3. |2" – 8| dx sinh? (e-) 4. dx e cosh(e-*)

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Q: dx = 3 cos° x/2sinx

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Q: Solve the equation (1 + x cosy) dx - x²siny dy = 0 using substitution.

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Q: 11. n y-x) dy. a- dx (sin !!

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Q: [5an28 elan 20 sec 2 Bdß 1. e²x +2e* - dx e* +1 2.

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Q: du -(cosh u) = dx "(sinh u). dx dx A True B) False

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Q: (X siny) dx tx+) cosydy= Solue the eqution

A: The given equation is: xsinydx+x2+1cosydy=0

Q: L{4e¬2tt3 + t sin t cos t}

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Q: (a) (c) 1² diz +1 cos(50) de (b) (d) √ X x² + 1 I √x+1 1 dx dx

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Q: L {sinh(at) – sin(at)} (s4+a) 2(s a) 2(s4+at) (st

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Q: dx -(I+ 2x tany) ay co

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Q: dx Using the substitution x = 3 sin 6, (3-x)i sec-e de a) b) V3 tan-e de sin²e V3 c) de d) v3 cos e…

A: We substitute x=√3sin(theta)