19/20 2 sin x - x dx = ? X 22n (a) (-1)". 22n+2 (2n+2).(2n + 2)! (2n).(2n)! (b) E(-1)". n=1 n=1 22n+1 (c) (-1)". (2n +1).(2n +1)! (d) (-1)"- 22n–1 (2n –1).(2n– 1)! n=1 n=1 2n (e) 2 n.n! n=1

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: 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: -= In[F(x)]+C. What is f(3) if C= 0? (x+x³) (x Tan-'x+1) A 3 B 6. 3 D V3 6 . + + -1/5

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A:

Q: 3. (2 + ln x)³ √ (2+1) X A. (2 + ln x) 4 +C -dx C. (2 + Inx)³ + C 4 {1tinx? Syn (2+1mx) +C 20 B. (2…

A: We can solve the integral using substitution method. Here we substitute 2+lnx by z and then apply…

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A: We use substitution method to solve this integration

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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

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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?

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

A:

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…

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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: 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)…

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Q: find x³ dx x? – 2x + 1 x³ dx 18. 17. x² + 2x + 1 x² dx dx 19. 20. (x – 1)(x² + 2x + 1) (x² – 1)²

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Solve for k such that 1 | k(x² – 2x + 1)dx = 5

A: Given problem:- ∫ k(x2 -2x+1) dx =5  Solve for k

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:

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

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A: Given,          ∫x-316-x2dx