-tan (m + 1)(x) + C tan I + m um + ( x ) (x + ₁)² I m+3 1 с

Q: y = tan(x sin x) O (x + sin x) sec² (x sin x) O (x cos x + sin x) sec² (x sin x) O (x + sin x) sec(x…

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Q: Evaluate 5⁰⁰ x dx. -∞ x sin 2x x²+3 0

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Q: Vcsc² 0 – 1d0 [In (sin 0)]² + 23

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Q: x+4 Find | dx (x-2)(x+5)(2x-1)

A: Here we use partial fraction to solve the integration.

Q: In [tan (5 + )| +o sec x dx 4 2

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Q: cos2x – sin2x cos2x For +C: What is F(x)? dx= 3 cosx - sinx

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Q: 6+02+z*91taXtrực (x + 2)(x² + 3)² xp=

A: ∫3x4+4x3+16x2+20x+9x+2x2+32dx

Q: I 1 -x² + 4x - 5 A B D dx _____ In-x² + 4x −5+ C -tan-¹(x - 2) + C -tan-¹(x + 2) + C tan ¹(x - 2) +…

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Q: Q3 Find and show the work for (x+3)(3x+2) dx. (a) х (b) F (sin(2x) – cos x) dx. (c) S(3x² + 2x +…

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Q: X Find | (х-1)(2х-1) dx

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Q: y = arccos /1 – x (1-x) 2 1 (1-x) 2 2 JA (1–x) 2 1 (1–x) 2

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Q: Compute 2 sin x dx -2 4 1 -1 2] O O O

A: Answer is- Option 3 is correct Explanation is given below...

Q: 시e (+-2) u(1-2) T 2-7

A: Some of the proprieties of Laplace transform Lu(t-c)g(t)=e-2cL[g(t+c)] Ltneat=n!(s-a)n+1 Leat=1s-a

Q: Evaluate sec³ (0) tan³ (0)dē. ○ sec (0) - sec³ (0) + C ○ sec³ (0) + sec³ (0) + C O sec³ (0) + sec(0)…

A: Step 1:To solve the integral ∫sec5(θ)tan3(θ)dθ, we can use substitution and trigonometric…

Q: f(x) A B = arcsin x, then lim 1/1/12 0 ㅠ 6 f(x)−ƒ( ² ) X→ X- 1|2 is

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Q: Зx2 — х + 3 dx I (x – 1)(x² + 4)

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Q: dx 1+x2 A In(1+x²) + c BIn(1+ x²) + c c tan-ix +c 1 x 2 D tan-x+ c IN

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Q: S(sec x tan x – 4x³)dx = - o tan x + х* + с sec x x4 + c sec x + x4 + c - sec x + x* + c - sec x x4…

A: Some of the properties of integration ∫f(x)+g(x)dx=∫f(x) dx+∫g(x) dx ∫xn dx=xn+1n+1+C ∫ (sec x tan…

Q: Evaluate L{2t e2t sin (3t) – e3(1-1) + 3et sin (4t – 5)}

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Q: T/4 35 (tan20tan + 1) sec20 d0 0

A: The integral is given by,

Q: sin 2.r =? lim Vr3 + r² - x -1 2 112 112

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Q: x-5t, y3 5t-3,-0<t<o∞

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Q: x + 7 dx J (x²)(x + 2)

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Q: COS X lim x0x +3

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Q: 1-T= 3- Z= +cos(y)tan ( √x-b cos (n) 2-sin²(n) 2-B=sin(x) sec(x)/cscf(x) 4-(w+n)²(a+) x-3

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Q: L[2 sin² 3t] s2+9 1 S s2-36 3 s2–9 1 s2+36 |

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Q: ¡ sin √x √x dx 18 tan² xsec² (2+tan³ x)² dx

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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…

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Q: 1 -x2 + 6x dx = 10 - A In |-x2 + 6x - 10| + C -tan-1(x – 3) + C C -tan-1 (x + 3)+ C D tan-1(x – 3) +…

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Q: Solve ²₂(x + 1)(x + 2)²(x² − 1)dx with and without the even-odd theorems (show both solutions).

A: ∫-22(x+1)(x2+2)2(x2-1) dx

Q: tan(2 – j5) j(2-j5) +7- jv2 In(-5) (320° – sin 20 + jln5)*

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Q: -1(x)dx st°tan 2 X¯ + 1 –1 X¯tan X 2

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Q: 4sec θ-√3= √3 + 7sec θ;(-∞, ∞)

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Q: x-1 Evaluate / dx. (x2+4x+5)(x+1)

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Q: What is the of y = (tan-¹4x)² ? 2 - 2tan ¹4 1+16x² 1 8tan ¹4x 1+16x² 2tan-1 ¹4x 1+16x² -1 8tan ¹4x…

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Q: Obtain the unique solution for x3 + 4x2 - 10 = 0 on the interval [1,2] by Secant Method.

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Q: dx x√3x² + 2x - 1 - arcsin 1-x 2x +C (Hint: Let x = 1/z.)

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