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: 5x2 +20x+6 7 dx χ(x+1)2

A: we have given,

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: 1 Laplace transforms Calculate the Laplace transforms of (i) H₂(t) cosh (3t), where cosh (at) = 1/²…

A: Solution: (i) let, f(t) = H2(t)cosh(3t)                   = H2(t)[(1/2)(e3t + e-3t)]…

Q: Which of the following polar graphs cannot possibly pass through the pole? O a circle with center on…

A: (a) A circle with center on the polar axis Any circle whose center is at the polar axis will not…

Q: What is the value of Σ n=1 (A) 15 8 (B) O A B C D E (-3)^²+1 5" 9 8 - ? (C) colc (D) / (E) 15

A:

Q: Solve 3 So 5² √ In ( ² ) a dx E

A:

Q: (a) y = f(x) A 0 16 32 48 (c) 16 16 F f(x) dx Enter an exact number. 40 (b) 0 F(x) dx 56 1.56 f(x)…

A:

Q: In³ (x) + 1 dx xIп2х + х 3

A: We use substitution method to solve this integration

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: Evaluate the definite integral (4x + 8x+1) dx where A is a constant greater than 2. (a) 4A3 + 8A –…

A: we have ∫2A4x3+8x+1dx   we have to evaluate this integral   and we have to apply limits…

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

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: x² – x + 1 dx ar(교2 + 1) Evaluate I =

A:

Q: Using Rodrigues' formula for Pn(x), (T) (i) Pn(-x) = (-1)" P₂(x) cl

A:

Q: (3 − |x|)dr is equal to L (3 (a) f( (3 - x) dx (b) [(3+z)dz (c) [²₁ (3 - x) dx + [² (3 + x) dx (d)…

A:

Q: Suppose that 1.² 1 (1 + x2)3/2 dx = 1½ Then a =

A:

Q: 2/7(w−1)−34/7=−5

A: Given,

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: An entrepreneur intends to sell his product for 6.4$ each. The daily cost or expenses can be…

A: 1st we will find profit earned by selling x number of product and then maximize profit using…

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: 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: 2 0 -8x5 + 15x¹9x³ + 3x²5x+2) d

A: We have to evaluate ∫02-8x5+15x4-9x3+3x2-5x+2dx Using scaler property…

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

A:

Q: 2x+5 - dx- (x² – 1)(x+2)

A:

Q: (x - 1)ex (x + 1)³ -dx

A:

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: