Use series to approximate the values of the integrals in Exercises 73–76 with an error of magnitude less than 10-8. (The answer section gives the integrals' values rounded to 10 decimal places.) •1/2 73. e* dx 74. x sin (x³) dx tan-lx •1/64 tan-x 75. dx 76. Vx

Q: Evaluate, with an exact value, the definite integral º -1/1+a dx.

A:

Q: 8) (10 points) Use Integration by Tables (Appendix B) to find the integral: sin 2x dx 5+3 cos x

A: Explanation of the solution is given below...

Q: dx V (1+ Vx)

A: Since you have asked multiple questions, according to our company guidelines we are supposed to…

Q: 7cot (e*) e*dx xp, e2x +1

A: Given integral

Q: "/ Evaluate the integral dx x²9x² using trigonometric substitution.

A:

Q: Solve dx dy for y= sec (In x) In (tan x)

A:

Q: = Evaluate : (v3 V1+x? dx 1-x?

A:

Q: (a) Find 5x (7-2x)³ dx using the substitution u = 7-2x 3 → S(5x) (7-2x)=3dx

A: given integration

Q: tan? (3 dx .2

A:

Q: 2tan-(x) dx = (e)None In2 In4 In2 In4

A:

Q: Which of the following are always true, and which are not alwaystrue? Give reasons for your answers.…

A: Given statement is u×(v+w)=u×v+v×w

Q: Evaluate

A: b) Given sinπ6π6=π6×180ππ6=30°sinπ6=sin30°sin(π6)=12

Q: Using suitable method, show that 2 tan" (x+2) dx =- – In 2 .

A: We use integration by parts to find integral tan inverse x.

Q: The value of i log (x -i) + i? n + i³ log (x + i) + i* (2 tan-'x) where x > 0 and i = Fis

A: Introduction :

Q: ntegral of arcsin((1/2)x)

A: Given: ∫sin-1x2dx

Q: x* – /x dx бу 4

A: integration

Q: dx (25 – x2)3/2

A:

Q: S(sec; - sin) do

A: We know that integration power rule is  Integration of (xn) = xn+1/n+1.   Here i attached the…

Q: Ssin(Tx)cos (3Tx)dx

A: We will use the formula Sin (A) Cos (B) =1/2[Sin (A+B) +Sin(A-B)]

Q: Use u-substitution to find the integrals. A.) integral tan x dx  [tan x =(sinx)/(cosx); sin^(2) x…

A: The given integrals

Q: Is it possible to use the reduction formula for cosine on this integral?  ∫[(1 - cos^(2)Θ) * cosΘ]…

A: Given,

Q: π 6. tan 2x dx

A: ∫0π6tan 2x dx