(a) Sn (b) Sn = (c) Sn = (d) Sn 12n n+1 n+3.(-1)" 3n-1 (-2)" n-1 2nn²2n + 1 2 sin n n² + 2

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

A: We have, ∫02sinx-xxdx   It is known that, sinx =x-x33!+x55!-x77!+...

Q: (-9)" (2n)! (a)e³ (b) cos 3 V3 (d) sin 3 (e) None (c) cos 2

A: The given series is ∑n=0∞(-9)n(2n)!

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: y=Sin x -37 30 Ly= cos x - 37 -2 77 ST 377 2. HN - 15

A: Answer is mentioned below

Q: 2 x = (y-1)² x = 3 y 1 X = 2√y 2 x

A: Step 1:Step 2: Step 3: Step 4: thanks

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

A:

Q: L' (s²+4)(s²+9) 3 f cos(2a) sin[3(t – æ)]dx O b) cos(2t) sin(3t) c) None of these 1 * Só cos (2a)…

A:

Q: 8. (-2)" (2n)! n=0 (a)e-2 (b) cos 2 (c) cos(v2) (d) sin 2 O None

A:

Q: (III) Rel=1 tan () dz = (A) 0. πί (B) 2 ( C) 2πί. ( D ) πί. None of the above

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

Q: If csc e = 1/3t, then where defined, cos 0 A) Square root of (1 – 9t²) 3t/squareroot of (1 – 9t2)…

A:

Q: 7 Express cach of the followir giving only principal values: (a) sin (2 – i)

A:

Q: The complex numbers sin x +i cos 2x are conjugate to each other for (a) x = nt (b) x = 0 (c) x = (n…

A: on based data given detailed solution provided

Q: (3) csc (3x) dx = A) In csc (3x) + cot (3x)| + C C)-In |csc (3x) - cot (3x)| + C B) - In |csc (3x) +…

A: We will solve this question by substituting the value of 3x.

Q: cos(3rk) In k 5k k 1

A:

Q: (15t-2 – 5t) cos (6t-1+t²)

A: using substitution method to find integration

Q: 4 L-1 s3 + 4s (A) [1 – cos 2t] (B) [1 – cos 2t] (C) [1 – sin 2t] (D) 1– cos 2t (E) [1+ cos 2t]

A: Given L-14s3+4s

Q: 2s+3 F(s) = ;L-1{F(s)} =? %3D (s+2)²+9 Select the correctresponse: O f(t) = e-2t (2 cos 3t –sin 3t)…

A: Inverse Laplace Transform: Let    be the Laplace transform of that is then is called the Inverse…

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

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…

A:

Q: (а) Vr3 3 – 1 (b) 2, х3 cos2xdx

A: Integration is the process of finding the anti-derivative of the function. The integration is done…

Q: (A) sin¹0 (2x) (B) cos 1¹0 (2x) 10 (C) -sin ¹0 (2x) (D) - cos ¹0 (2x) (E) None of the above.…

A:

Q: Simplify - 2sin(2 – x)cos(2r + 1). O cos(x + 3) – cos(3x – 1) O sin(1 – 3x) – sin(x +3) O sin(3x –…

A:

Q: f(t) = L-¹{F(s)} e nt sin(at) sin(6t) + 6t cos(6t) F(s)=L{f(t)} $-2500 s¹Y (s) - s³yo - s²yo - syo -…

A:

Q: cos x-1 dx = ? 0. (a) (-1)". 22n (2n).(2n)! 22n+2 (b) E-)". n=1 (2n + 2).(2n +2)! n=L 22n+L (c) )"…

A:

Q: 2 cos x – 1 dx = ? X

A: In this question we used the expansion of function and evaluate the integral

Q: phson met N is given (B) 2xp-

A:

Q: 1 -x² + 6x 10 A (В B D T dx ARISTIANE ln |−x² + 6x + 6x − 10| + C tan−¹(x − 3) +C -tan-¹(x+3) + C…

A:

Q: Find the root (3 – 3i)2 - + V18[cos(r/8) + isin(x/8)] O +V18[cos(x/8) – isin(t/8)] +3 V2[cos(1/4) –…

A:

Q: cos x - 1 dx = ? %3D 22n (a) (-1)". 22n+2 (2n).(2n)! (b) (-1)". n=1 (2n +2).(2n +2)! n=1 (c) (-)".…

A:

Q: The square root of (1 2i) is (1) V5 (cos (+ 2n)+ i sin (5 + 2n")) for n = 0,1 COS (2) V5 (cos (+ 2)…

A: The general form of a complex number is given by z=a+ib, where a,b are two real numbers and i=-1.…

Q: lim n→ ∞o 3n+1 - 80-1 gn+2

A: The given limit .The aim is to find the given limit.