1:25 < Back Pulse 8 of 8 31) Integrate: π/9 sin 3x(csc 3x + sec 3x)dx 32) Integrate: 2 x² + 1 dx x3 + 3x 86 7 MATH1275 Calculus 8

Q: Integrate {w^7 * cos(3w^4)dw

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Q: 4) | tan (x). sec(x) dx

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Q: Question 2 Integrate: 16x 10 dx 4x2- 5x + 81

A: Given,         ∫16x-104x2-5x+81dx

Q: 2 arcsin ++2rk, ±- 4 - 2rk + 2жk 4 ±"+27k, ±- 4 - 27rk + 2жk 4 57 + + 2rk, ±- 4 - 2rk 4 ++2rk, ±: 4…

A: sin-(-2/2) 2/2 = 1/2 sin-(-1/2) sin is negative in 3rd and 4th quadrant so here π + π/4 = 5π/4 and π…

Q: Prove that 1 3V2 dx < 3 + x (Hint: Theorem 5.9(ii) and carefully chosen functions should do the…

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Q: i) Find the Fourier sine transform of (sinx, 0a f(x) = %3D

A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems.These are…

Q: z cos(2x)) - cos(2x))+

A: here using sin2x = 2sinxcosx                 cos2x = 2cos^(2) x -1

Q: tan (csc-' (2x + 1)) 2x+1 a) V4x2+4x O b) 1 V4x2+4x c) V4x2 + 4x O d) 2x + 1

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Q: S 3. sin°ydy 1+ cosy

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Q: f6)= Sin () (x 3x26x-8) 1 CosX In Ceos x) | $66)=Sinx+t Cosx. sinsetl -6()=DSin -2053 2.

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Q: e' [ S (5² +a²) 2 ] = t sinat 2a 7 Prove using Convolution

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Q: Suppose Cov(X,Y) = 781. What is Cov(4.5X, 7.5Y)?

A: The objective of this question is to find the covariance of the two variables 4.5X and 7.5Y given…

Q: I/2 52) 5), 5/2 6] Sin23xdx Cos'xdx

A: As we know that; The trigonometric identities; 1). sin2x=1-cos2x22). cos2x=2cos2x-1   5). Given:…

Q: 6) 1) (2x²-3x+2)dx -5

A: Given that integral is

Q: Ísin^8 (3z) cos^5 (3z) dz * O 1/27 cos^9 (3z) - 2/33 cos^11 (3z) + 1/39 cos^13 (3z) + C O 1/27 sin^9…

A: Given integral I=∫ sin8(3z) cos5(3z)  dz

Q: 4/ Prove that: " cos bx dx = (bsinbx +a cos bx]+c

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Q: 1 dx ex + 1 21)

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Q: 2T d) f(x)=5 sin (x+1)+2 e) f(x) = -2 cos 2(x+ 1) + 1_ 17. Find the rule of the sinusoi

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