3. What is Se3x dx?

Q: a dy ピ+3

A: Given

Q: 2)S 1xtil dx (5)

A:

Q: 364. feV1-e"dx ; u = e*

A: Use substitution method and integration ,we get the required solution

Q: 17 5. S dx х2+ 13х +1

A: We can use the following standard integration result to evaluate the given integral:…

Q: S, (x3 + e*) dx

A:

Q: 2. | csch´x coth x dx

A:

Q: 6 ブ snx dx=

A: We can make it easier for you.

Q: Evaluate the integrals

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

Q: () Stany" (secx)"dx 4.

A:

Q: 2.S Ver eax dx Sve

A:

Q: 7. Use substitution to evaluate ſ 2x(4 – x²) dx.

A:

Q: S In (ecos5×)dx

A: Given that: ∫ln(ecos5x)dx

Q: (In /3)/3 24) З е3x dx 1+ ебх

A:

Q: 2. 4 (Inx) dx

A:

Q: S coslnx dx

A:

Q: S (28*_ 4 e²_ 1) 2) dx |

A:

Q: 13. [" e*dx

A: Use integration rules

Q: SVa Inx dx

A: ∫xlnx dxBy using integration by parts=lnx∫x dx - ∫ddxlnx∫x dx

Q: In(3x – 2) dx

A: It is known that: ∫ln xdx=xln x-x+C, where C is the integration constant.

Q: What is ∫ e3x dx?

A: Given:     Use method of substitution to solve.

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: 32x ) dx In|xl + C 3 %3D - |- 3x. 2 In 3

A: let the missing term is Y

Q: In r dx 7.)

A:

Q: In (5x) dx =.

A:

Q: (23×e¬*)dx

A:

Q: S 3x³y dx

A:

Q: 1- S dx -4 4

A:

Q: 5 ex dx e2x

A: Given: ∫5-exe2xdx

Q: to of 3g dx Be

A:

Q: S (In 2x2 dx

A: Evaluate the integral :    ∫ln 2x2 dx

Q: 30 en (6ox+ 3o)dx 2.

A: Note: As per bartleby instruction when more than one question is given only one has to be answered.…

Q: 1 3. Evaluate dx, using substitution method. 2

A: The given integral is: ∫1xx+12dx I=∫1xx+12dx    -1

Q: a) Só xv4 - x2 dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

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: 6. 2 I (ve**)dx dy у /2

A:

Q: 1. Evaluate [(2sin 2x+3Tanx – 5 e-5* +4x' -7) dx .

A: Integrate each term

Q: х — 3 7. S dx (25- (х-2)2

A:

Q: Sメtex dx

A:

Q: In 15 3e-2x dx In 8

A:

Q: In 4 e2x dx 10)

A:

Q: 3. 2seex dx

A: Given :

Q: S 3xsin(4x)dx XSI

A: Use the method of integration by parts to evaluate the integral.

Q: S,12x – 3|dx 3. -

A: ∫04|2x - 3|dx In the limit 0 to 4, we need to open the modulus sign: fx = 2x - 3 = 0   ⇒ x = 32  So,…

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

A:

Q: 12. Evaluate dx. et +e-

A:

Q: 5, S₂(4 - 2x)dx

A:

Q: 10 Find ſ," (+ 2x + 6) dx 4 x6

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: