Anti der ivent ive 2x %3D 37-4

Q: 3. S dB Bln*ß

A:

Q: メ 2 4. Sô 5 dx

A: We have to solve

Q: dx 3 Losx

A:

Q: S Vtanx dx

A:

Q: Find the dervative: ln(√x4+x2)

A: Let

Q: Evaluate the integrals

A: Given, ∫ln 6ln 7∫0ln 2∫ln 4ln 5 ex+y+z dz dy dx

Q: ху + (1 + х) у %3D ех ex

A: Answer and explanation is given below

Q: VALUATE xx4 dX 3

A: to find:- integration of the given function. *concept:- let,  x^3+4 = t.

Q: Evaluate. Use a capital C for any constant. 4 dx 4x 3 %D -

A:

Q: Using Reciprocal Substitution dx For S xVx²+2x-1

A: This is question related to reciprocal substitution in integration.Solution is given below.

Q: integrate: [e^(2x)]cbrt(e^x +2)  dx

A:

Q: Evaluate fcos-¹(x) dx

A:

Q: 2. S dt

A:

Q: Evaluate. .3 S (-x² + 4x – 5)dx -2

A:

Q: 6 S(3csc°C+) - &e*)dt

A: Given integration is : ∫3 cosec2t-8et dt To find the value of integration

Q: Evaluate csch- x dx , 0 < x < 1

A: To find the integration of following csch-1x

Q: 4. S Vtanx sec6x dx

A:

Q: (4) S xe*dx xe* + e* + c ex — хе* + с Option Option 2 хе* — ех + с Option 3

A:

Q: e*Vex-1dx ex+3

A:

Q: P+ZX Calculate

A:

Q: 6. S sec3 dx

A:

Q: Condense 2ln(x + 3) – ln(x + 3) – ln(2) – 3.

A:

Q: Eval the Pt: dx

A:

Q: (2х+1)2 dy 4. У - 1-2х dx 12/09/2021 10: 00

A: We have to solve the problem

Q: e3x dx ex – 1

A: Given: I=∫e3xex−1dx

Q: 1. F(s) = 2)

A:

Q: p4 dt 基

A:

Q: 5 ex dx e2x

A: Given: ∫5-exe2xdx

Q: Vin3 Vin3 dx dy

A:

Q: . Evaluate S (-+ 3e* ) dx

A: We have to Evaluate  ∫ {(1/√x) - (2/x) + 3ex} dx = ∫(1/√x) dx - 2 ∫(1/x) dx + 3 ∫ex dx

Q: Evaluate Ssin" (2sv1-x*)ds. dx.

A:

Q: dP dt

A: Given differential equation is: dP/dt = kP - m ................ (1) where k and m are positive…

Q: SVī dx

A:

Q: Evalmate: 3/2 Cas 3x) dx

A:

Q: 4. 2xe tx dx

A: The given integral is ∫2xe4xdx. Let u=2x  and  dv=e4xdx. This implies that du=2dx  and  v=e4x4.…

Q: Sinvy dy 3.

A: 3 Given integral is ∫lnydy. We have to evaluate the given integral. Use integration by part formula,…

Q: もVALUATE xe 0.

A:

Q: 2) S 3cotx.csc² (x)dx

A: I have used method of substitution of integration and formula

Q: Evaluate. Use a capital C for any constant. 5)° dx %3D

A: Here we use the formula of (a-b)^3, to expand the given expression. Then we integrate each term to…

Q: 2s+1 1. L-1 (s+1)²,

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Sメtex dx

A:

Q: 5 S Ix² x- 6|dx -5

A: The given integral,            ∫-55x2-x-6dx

Q: 8. 6. sec²(3x) – V8)dx 6x + 9

A:

Q: 3y) dy 8.

A:

Q: 5. S(-3 Vx- 6x Vx) dx

A:

Q: 4 3x+2 dy %3D 2x-1 dx 12/09/2021 10: 00

A:

Q: Evaluate ((x + sec² (Tx))dx

A:

Q: dx 1. dt 4.x1 – 2x1.x2 dx2 -2x2 + 8x1.x2 dt

A: This is a problem of system of differential equation.

Q: che

A: Given differential equation is: y'''+4xy'-xx+1y-1+x=0 Rearranging the terms we get,…