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

Q: (12) Find the Value of b such that: [3x² dx = 27 (A) 6 (C) 9 (B) 3 (D) none of these 4

A: Step 1:To find the value of b such that ∫0b​3x2dx=27, we need to solve the definite integral: Step…

Q: d -(3x² + 11)e¬ª at x = –1. dx Evaluate

A:

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: cos x -1 dx = ? 22n (a) (-1)". (2n) (2n)! 8. (b) (-1)". 22n+2 (2n+2).(2n+2)! n=1 n=1 2 19

A: Here we have been given the integral  ∫02cosx-1xdx

Q: d (7 ln(x)) dx Find

A: Find

Q: Which equation represents the following function? р (4, 18) (9,3) q

A:

Q: In³ (x) + 1 dx xIп2х + х 3

A: We use substitution method to solve this integration

Q: What is the Laplace transform of the following differential equations? dm 6 + m(t) = 2 p(t) dt where…

A:

Q: –1/2 | (x (x² + x) + 4)dx.

A: Given,            ∫04x-1/2x2 + x + 4 dx

Q: Evaluate f- 8x+1 dx V4z-3 (4x – 3)½ +(4x – 3) +c O b. (4x – 3)/2 +(4x – 3)i + C (4x - 3)%2 +(4x – 3)…

A: Given integral,∫8x+14x-3dx

Q: 1/4 (x*-x Q 10. -dx is equal to 3/4 5/4 (a) 15 +C +C 4 (c) 15 S/4 1 +C (d) none of these

A:

Q: Solve the First ODE (3y* – x*)dx = 3xy'dy || 4-4ln(2x)+c А-у %3D 4 4-4ln(x)+c B- y = 2 4-4ln(x)+c C-…

A:

Q: 6. Simplify the rational expressions (a) st = ut 24 w %3D (zw)

A: As per bartleby guidelines for more than one question asked only first is to be answered please…

Q: x +1 dx | (25 – 12) 3 2

A:

Q: Is the answer correct?

A:

Q: n+1 & [ 2² + J²+1 ] = 2 ( ² √2² − ² + ¹ J^+1 dx

A: We have to prove the given expression by using the Bessel recurrence relations.

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

A:

Q: Use the values 3 1³ F(x 16 90 f(x) dx = 6 and g(x) dx = 2 to evaluate the definite integral.

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: Given f(x) 3 = T 3) (g f) (4) and x²-1 glx) 2x+7, find the following. 4) (gofog) (-1)

A: Given f(x)=3x2-1 and g(x)=2x+7

Q: 1 3- S-x2 3 S y, dx 3 4- J2 (x+3)*

A: 3.∫1x2-x2-13 dx4.∫223(x+3)4dx

Q: 8. 2 – 0.5x² ) dx 3 16/2 – 0.5x² – 4x² /2 – 0.5x? V - - -

A: We have given expression as ∫-22(162-0.5x2-4x22-0.5x2-832-0.5x2)dxit can be simplified…

Q: a(1 – rª ) n³(1-0.5'g(n) ; (1 – r) (1-0.5) (n³ – n³+0.5!g(n)) 0.5 =(2n3 – – 2n² ) 2 * n³ * 0.5'g(n))…

A:

Q: |x−2/2−1/2|<1

A:

Q: 4. √ (3x² + 4x − 5). 8(r³+2x²–5x+5) dx

A: We have to find solutions

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: m-1 Evaluate S²x²-1. [In (-²)]" dx 0

A:

Q: - 1/5 Find (4) (n) for the function t(n)=5n 7/5 + 6n .

A: