Determine the integrals of the followings: (i) S(3x2 + 5x/2 +- )dx (ii) (20 + sec? x) dx 10 20 + sec2,

Q: Find the integral ∫dx / 1+coshx.

A: We write the function using ex

Q: Use any method to evaluate the integrals

A: Since you have posted multiple question we solve first question for you  To get the solution of…

Q: •2 dx

A:

Q: Evaluate the integrals ∫sec3 x tan x dx

A: To find the given integral.

Q: Evaluate the integrals

A:

Q: Evaluate the integrals ∫sin4 2x cos 2x dx

A: I=∫ Sin4 2x Cos 2x dxLet Sin 2x=t2 Cos 2x dx=dtCos 2x dx=dt2

Q: 14 Find the integrals using integration by parts. Lx(x + 4) dr --2

A: Given that:(a) ∫x(x+4)2dx

Q: Evaluate the integrals using integration by parts. ∫ (x + 1)2ex dx

A:

Q: Evaluate the integrals ∫2 sec3 x dx

A: To Find: The following integral Formula Used: Common Integral :

Q: Evaluate the integrals

A:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 16 +…

A:

Q: evaluate integral of (6x^1/2 + 6x^2)dx from 4 to 9

A:

Q: What is the integral of x2(2-x)^(1/3) dx on the interval [1,2]?

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) (7x2 + 5x-2) dx

A:

Q: S 8-3x (x+1)(x² − 4x+6) - dx

A:

Q: Find the indefinite integral S(2x2 – 1) sin(5x) dx using integration by parts.

A: The given integral can be split into two parts as follows, ∫2x2-1sin5xdx=2∫x2sin5xdx-∫sin5xdx…

Q: Find the integral of sinx dx x – 7 8.

A:

Q: Evaluate the integrals ∫sin 2x cos 3x dx

A: We have to evaluate ∫sin2xcos3xdx. We know that 22sinA cosB=sinA+B+sinA-B Therefore,…

Q: Evaluate the integrals ∫8 cosh √x/√x dx

A: We have to evaluate ∫8coshxxdx Let substitute t=x dtdx=12x2dt=1xdx Substituting the above value in…

Q: Evaluate the integrals

A: Given integral to evaluate ∫-44xdx The modulus  function is given by  x=x        if x≥0-x    if…

Q: Use any method to evaluate the integrals ∫x cos3 x dx

A:

Q: Evaluate the integrals using integration by parts. ∫x2 sin x dx

A: Given: ∫x2sinx dx

Q: Evaluate the integrals ∫x-4/3 dx

A: Given information: The integral is ∫x-43dx. Calculation: Use the power rule of integration…

Q: 1+cos 4x dx 1-cos 4x 10.

A: Evaluate integral

Q: Evaluate the integrals ∫3 sinx/3 dx

A: Given to find ∫3sinx3dx The property used here  ∫afxdx=a∫fxdx So the integral will be…

Q: find the indefinate integral of (x^8+18)/x^7 dx

A:

Q: Find the indefinit integral of (3-2x)2 dx

A: Given ∫3-2x2 dx

Q: Find the integral [x(4x+3)'dx .

A: We have to solve the integral.

Q: The indefinite integral [ 4cotx dx is sinx 4 +C sinx А. В. -4tanx secx +C 4 +C sinx С. D. 4tanx…

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) (5x2 + 6x-2) dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 1- 36x2 dx

A:

Q: s/4 dx 2- 1+tanx 3.

A:

Q: Evaluate the integrals: 1. 2. -2 dx 0 8+2x² x+3 2x3-8x S - dx

A:

Q: Find the integral. 5sinh x -dx 1+cosh x

A:

Q: Evaluate the integrals using integration by parts. ∫e-2x sin 2x dx

A: the given integral is: ∫e-2xsin2x dx we have to evaluate the integral by using integration by parts.…

Q: Evaluate the integrals ∫cos x cos 7x dx

A: To integrate: ∫cosxcos7xdx.  We know that cosacosb=12sina+b-sina-b. Therefore, using the above…

Q: Calculate the integral of x(1+ 3x)° dx .

A:

Q: .2 32. 8x dx, x > 8 -

A:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) ( 16 +…

A:

Q: Evaluate the integrals ∫sec2 x tan x dx

A: Given:∫ sec2x tanx dx

Q: 10dx =l 1-cos(2x)

A:

Q: Calculate the integral approximations Ts and Ms for L'(In x)-2 dx. Your answers must be accurate to…

A:

Q: Evaluate the integrals ∫(tan x)-3/2 sec2 x dx

A:

Q: Use any method to evaluate the integrals ∫ x4 - 1/x5 - 5x + 1 dx

A:

Q: 4x √x² - 1 2 s dx

A: Solve the integration

Q: Evaluate the integrals.

A: Evaluate, ∫22dxxx2-1dx

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 4 +…

A: Given

Q: Evaluate the integrals using integration by parts. ∫ tan-1 3x dx

A: Now,

Q: Calculate the integral ∫(3/3√x + 2/√x)dx.

A: Given integral: Formula used:

Q: Evaluate the integrals

A: Given: I=∫0π1-cos2xdx We know that 1-cos2θ=2sin2θ…