1 36* dx V6* + 3 2x dx x2 + 2x + 5

Q: 1/2 dx 3. Sx³ (a² + x²)/2dx

A:

Q: Evaluate the following integrals: 2r - 2r + 1 dx 1)

A:

Q: Evaluate the following integral: 1 dx, (x² + 6x)/2 x > 0.

A: Indefinite Integration

Q: Evaluate the following integrals? .3 1)S x² e3* dx 2) S dx x²+25 dx 3) 6x – x2 4) | cos(In x) dx

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1 dx (x-2)(x+2)

A: We have to find integration

Q: 3. 1+x dx

A: " Since you have asked multiple question , we will solve the first question for you. If you want any…

Q: Evaluate the following integral. 1 dx x2 +4 0.

A: Use the method of substitution to evaluate the limit. Assume I=∫021x2+4dxLet…

Q: Q1. Evaluate the following Integrals 1 dx xVx

A:

Q: Evaluate the following Integrals. dx V1 – 4.x2 4. -

A:

Q: Evaluate the following integrals a) dx J (2x - 1)3 6x dx b) 2.

A:

Q: Evaluate the following integrals dx V9 - x?

A: Given that, ∫x29 - x2 dx           ...(1) We can do this with trigonometric substitution. Consider,…

Q: Evaluate the following Improper integral: +00 dx x2 + 2x + 4 8.

A: We will evaluate the following improper integral.

Q: Evaluate the following integrals 1 3x 2x + y²)dydx a.

A: Solve the following

Q: Evaluate the following Integrals dx しな25)メ

A:

Q: Evaluate the following integrals using dx = -00 (a) 7xe- dx (b) 13 xe-X dx

A:

Q: a) Evaluate the following integrals by Parts 6) (lnx)² dx In x [√x 8) | Ir 8) In(x² + 4)dx 9) […

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three…

Q: Determine the following integrals (a). cos xsin.xdx (b) [- dx 17-5x+6 (c) fxe*dx

A:

Q: Evaluate the following integrals.

A: Let,  z=6xdz=6dxdx=dz6

Q: cosx dx Vsin? x-2sinx-3

A: SOLUTION-

Q: 2 - dx x2 +1 01

A:

Q: - dx 5x² +3 c)

A:

Q: Evaluate the following integral. Enter an exact answer. •3 4 3 dx x3

A: Topic = Integration As per guidelines , At a time only one question can be answered,

Q: dx Vx²+2x+5

A:

Q: Evaluate the following integrals: 1) 3x(x-5) dx

A:

Q: dx 5. S -9x+6x-2

A: According to the Bartleby guidelines only one question can be solved at one time, post the remaining…

Q: Evaluate the following integrals. b. "f2 sec² xdx (2x+5)dx

A: Topic:- application of integration

Q: Evaluate the following integrals: x +1 1- dx (x² + 2x + 2)3

A:

Q: 6 sec*x dx

A:

Q: Evaluate the following integrals. 1) La7 dx Ans. 4 1 v1-2x-x2

A:

Q: tan 2x dx 2. S (3+ln cos 2x)6

A:

Q: dx (6-x²)3/2 S"_ tan (x)dx

A: On solving these integration we will get

Q: Evaluate the integral. 2. Se 3x dx 0.

A:

Q: 5. Jxе2x dx

A:

Q: Determine the following integrals or state that they diverge. 2.) xln(x)dx 0.

A:

Q: Evaluate the following integrals 1 (2x – 1)ª dx 6x b) dx V – 4

A:

Q: Evaluate the following integrals. 1 dx (e2r – 4)³/2

A: The integration of the integral is 1/(e2x-4)5/2.

Q: S, 3x²e* dx .2

A:

Q: Evaluate the following integrals: xex dx 2. xe/2 dx 1.

A: Given: I1=∫xe5xdx, I2=∫xex2dx For evaluating given integral, we use integral by parts theorem…

Q: dx 3 Vx Vx (1+Vx)²

A:

Q: 03: Evaluate the following integrals: dx (4) √√√²+4x+4

A: Solve the integration

Q: Evaluate the following integrals: а- T/2 2cosx dx 1+ (sinx)² -T/2

A:

Q: Evaluate the integral. 5 x2 e dx +C

A:

Q: Evaluate the following integrals.

A: we have to evaluate the integral ∫9161+xdx

Q: 6. Sxe -3* dx хе

A: We solve the above integral using integral by parts which is given in step 2 .

Q: 1 1 1 dx x+2, x+1

A: We can solve this as follows:

Q: Evaluate the following integrals.

A: ∫x1-9x2 dx Put, 1-9x2=t⇒0-92x=dtdx⇒-18x=dtdx⇒-18x dx=dt⇒x dx=-dt18