e3 cos(e2) de 피2

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

A: Given :  Intergral ( e2x sinex dx)

Q: X cosh? dx 2 -In2

A:

Q: Evaluate

A: ∫3cos22x dx factor out the constant term outside integral symbol. ∫3cos22xdx =3∫1cos22xdx=3∫sec22xdx…

Q: evaluate the integral.

A:

Q: dx 2 arctan(4)- arctan (2)-a 4 arctan (5)- none of the choices 3 arctan (2)-

A:

Q: 1. (D² + 30+2)y=24 cos 3x

A: First we find complementary function then particular integral and then general solution as in next…

Q: b) sin 3x

A: Let's find.

Q: 7. (a) cosh?1 (b) 2 sinh² 20

A:

Q: (D2 -3D+2) y = e sin (e") - 2

A:

Q: find Dxy if y=e^(-2/x^2) Dxy=?

A:

Q: e3* sin x dx.

A:

Q: Find if y = tan- 5). Select one: A. 1-) В. 1+ (1 – 2)* C.d - 2 O D. I+ (1 - 1)* OE.+ (1-)

A: Given function is We know that derivative of tan inverse x is 1/1+x^2,so

Q: 3x + 5 Evaluate dx. Enter your answer as an exact fraction if necessary.

A: Given integral is I=∫143x+5xdx

Q: sinh5x S sinh*xcoshx dx is a)True b)False

A: This is true.

Q: 4. y" + y" – 5y' + 3y = e-* + sinx Solve the equation.

A:

Q: e*tan³(e*) dx (e*) 3 sec

A: To evaluate: ∫extan3(ex)sec (ex)3dx

Q: Solve yn+2 - 2 cos ayn+1+yn = cos an.

A: First we need to write equation in symbolic form then solve.

Q: e sin(x²)dx <e-1. Jo Show that

A:

Q: Se³x cos (2x) dx 3x

A:

Q: d 61. tanh(e*) = e* sech²(e*) dx

A: It is given that, ddxtanhex=exsech2ex.

Q: d 5s- Cos-3 s(s*- 1st1)

A: We use partial fraction method to decompose given function of s and then use inverse Laplace…

Q: Solve dy *- Jxy +1 with yeo) =1 for finding yfo.075) dx take h=0-025

A: The numerical solution of the differential equation is the value of the function that satisfies the…

Q: cos e de O 4

A: Given

Q: Evaluate L {e-3(1-2) - 1¹e³¹ − 21²cos(2t) + 3e¯'sin(3t+ π) +-π)}

A:

Q: L{cos 5t} OS

A: To find the laplace transform of cos2 5t. We use the cosine formulas to solve the given question. We…

Q: tan³x-cos?xtan³x 6. S dx hint: S tanxdx Insecx + c cos²x

A: Solve the question 6. Repost the question 7 and 8 again.

Q: 9 P cost D2 + 1 }; రె 2 cos²x T+a {

A:

Q: dx How can we reduce the % expression to the expression ***, ?

A: We have to solve given problem:

Q: S d0 cosh 0 + sinh

A:

Q: HCt-2) Cosh(6(t-2))est ?

A: Given: Ht-2cosh 6t-2e8t

Q: sin xdx is О а. л 4 O b. 3 O d. 6

A: Integration and trigonometric identity.

Q: dx 10) T vin @cos Odo or Ode COS 77/3

A:

Q: Dsinx-sin3x [3] sin³x = find D and E. %D E

A: Solve for D and E

Q: (D² – 4D + 3)y = 20 cos x

A:

Q: 8e 2* dx Using an appropriate substitution, evaluate:

A:

Q: y = cos((TX)5)

A: Please see the white board.

Q: 53. H(z) = sec“(/=)

A: Topic : Function

Q: dx 2x2+8 dx -9x2+6x-2 e2X sin(e2x)dx cos? (e2x)+3

A:

Q: Q3 Find 00 (i) -t sin(v3t ∞ e

A:

Q: S tan-1(bx) dx

A:

Q: y = tan (xxy) -1

A: We have to evaluate the following differential equation.

Q: cos' 0 d0

A: To solve:

Q: 2x + 2 dx. Evaluate :[ sin" W4x² + 8x+ 13

A: We will solve the problem

Q: Differentiate

A: Derivative of a function is the rate of change of the function. It gives the slope of the function…

Q: Q1: what is on (3x) SI2 dx x2

A:

Q: cos(3w) (iv) 1+w2

A:

Q: 2x dx Using an appropriate substitution, evaluate: (A 4

A: Assume 2x= t then convert the given integral into t . Use integral formulae to evaluate integral.

Q: S tan-Vx dx =

A: Using substitution and formula of integration by part.

Q: Syše-dy

A: