2 sin x - x dx = ? 22n (a) (-1". 22n+2 (b) E(-1)" - (2n).(2n)! (2n + 2).(2n +2)! n=1 n=1 22n+1 8. (c) (-)" (d) E(-1" 22n-1 (2n -1).(2n-1)! (2n +1).(2n +1)! n=1 n=l 2h (e) n.n! n=1

Q: Solve for x. E (7x)° (7x)\ I (4x)° (4x)) F (7x) (7x) O 20 О 10 O 22 O 5

A: Given a hexagon with interior angles 7x°,7x°,4x°,4x°,7x°,7x°.

Q: X+1 dx (x- 1)(x² + x + 1)

A: The given integral is: I=∫x+1(x-1)(x2+x+1)dx

Q: cos X - 1 dx = ? 22n (a) (-1)". (b) E(-1)". 22n+2 (2n).(2n)! n=1 (2n + 2).(2n +2)! n=1 22n+1 00 (c)…

A:

Q: d [x² +1] dx x4 d dx -[(x² + 1)5⁰]

A: Topic = Derivative

Q: s+1) (a) L-1 4s2 +1 (b) L-1 s4 + s] (e) E{/ c{[e cos(r) dr.

A:

Q: 4x

A: Given equation is    4x - 2/2 −16 - x/17 = x/18−11

Q: S(x + 1)(2 – x)° dx 7(2 - x)* - (2 - x)* +c 7(2 - x)* -(2 – x)* +c 3. (2 - x)* +(2 – x)* +c 금(2-x)*…

A:

Q: x2-4x dx 3) S (x+1)(x²+4)

A:

Q: (а) (3x +5(5х -6) dx (b) 15х3 -10х? +15 dx 5x?

A:

Q: In³ (x) + 1 dx xIп2х + х 3

A: We use substitution method to solve this integration

Q: (x³ - x) dx 3 -1

A:

Q: d The constant term of (x¹ - 3)º e The last term of 2 G- 3

A: It is related to binomial expansion : 1: the constant term of (x⁴ - 3)⁹ 2: the last term of ( -2x² -…

Q: 9x +1 d) / | 3 – g² + 9x – 9) x2 + 9x – 9) -

A:

Q: 2 tx 1

A: using by parts you can obtain the result:

Q: x +1 8. J x(x+ 4)3 dx

A:

Q: sin x - X dx = ? (a) (-1)". 22n (b) (-1)". 22n+2 ( 2n).(2n)! (2n+2).(2n +2)! n=1 n=l 22n+1…

A: ∫02sin x-xxdx

Q: Is the answer correct?

A:

Q: (a) S 5x2/3 +x5/3 + 3x+/3 dx (b) Sx² - 4 dx (c) Sa? — х — 2) (3- 4х — 2х?) dx

A:

Q: The expression r = = 20/7 x5y y³ 4/7 = yt where: and t = ||

A:

Q: Cos X -1 dx = ? 22n (a) -)". (b) (-1)". 22n+2 (2n).(2n)! n=1 (2n +2).(2n + 2)! n=1 22n+1 22n-1…

A: ∫02cosx-1xdx

Q: (x4 4x2 + 6) dx = 2 (x*-4x2 + 6) dx Select one: True False

A: Property of definite integral ∫-pp f(x)dx = 2∫0p f(x) dx , if f(-x) = f(x) or it’s an even function…

Q: X 4. f* - 2x² - 6x +1 2 x² - 2x-8 dx

A: We have to find the integral.

Q: Q6.31 Look at the directional fields of phase planes below. Draw a line to match each phase plane…

A: A. Here for the given system ,eigenvalues of  are  ,complex with only imaginary part.Hence…

Q: 1 x2 - x + 12 x3 + 3x dx

A:

Q: 20 x3 25+x² 2)골 2 dx

A:

Q: cos X – 1 dx = ? 22n 22n+2 (2n +2).(2n +2)! (a) E(-1)" (2n).(2n)! (b) E(-1". n=1 n=1 (c) (-1)" 22n+1…

A:

Q: • (i) <(13)* k=0

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

Q: sin x - dx 3 ? 22n (a) (-)". 22n+2 (2n).(2n)! (b) E(-1)" (2n +2).(2n + 2)! n=1 n=l 22n+1 8. 22n-1…

A:

Q: 12х2 + 2х — 7 dx L?+4x3 – 7x + 1

A: To evaluate: ∫-2212x2+2x-74x3+x2-7x+1dx Let I=∫-2212x2+2x-74x3+x2-7x+1dx To substitute the integral…

Q: 15 dx (x + 1)(x² + 4)

A:

Q: with denominator (x-2)(x – 5)(x – 7 4x x² – 7x + 10 'x² – 8x + 12 -

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.