3. S V5 + Vx dx

Q: SVe -z) + 4 dz

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Q: S 2x dx 1+x2 In|1 + x²| + c Option 2

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Q: Evaluate 3 | ((2 – 1)32, (3 + t)2, 1)dx. 3/2 3/2 -3

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Q: 364. feV1-e"dx ; u = e*

A: Use substitution method and integration ,we get the required solution

Q: S. 14 V1 + 7x dx

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Q: 1 Y(s) 4 5s2 S

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Q: Evaluate. А. 2xe dx 2xet2 46. В. dt 50. 1 + t

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Q: 6x Sxe хе dx

A: Using the integration by parts, it can be written as follows. ∫udv=uv−∫vdu

Q: 3. NM 4. XZ 5. NZ 10.2 5.6 6. MZLMN 7. MZYXZ 8. MZXLM N 29°

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 6. S Ve3x + e4x dx

A: 6.∫e3x+e4x3 dx∫e3x+e4x13dx

Q: Evaluate: -ld. dx 1 2 5.027 2 5.205 2 5.025 2 6.025

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Q: S, 53-2x dx -2

A: 4 Given  ∫-22  53-2x  dx

Q: 2.S Ver eax dx Sve

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Q: 4 The result of ff*(+√y) dxdy=

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Q: 1. S(VE – Vr² + VE³) dt

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Q: 2 Sx²V4 – x² dx

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Q: 2. 4 (Inx) dx

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Q: S S( 3x² +x³y)dxdy

A: Evaluate ∫13∫023x2+x3ydxdy=?

Q: Sx²e2x*dx

A: We have to solve the integral using u-substitution: ∫x2e2x3dx Substituting, u=2x3 Differentiating…

Q: 2 16e2=" dr dy 0.

A: Given:- Evaluating the integral by reversing the order of integration ∫02∫y216 e2x2 dx dy

Q: (2x2 ox s} dx +x + 0. O 70 13 O 17

A: To evaluate the integral: ∫032x2+x+5 dx Solution: Power rule of integration states that:…

Q: S,(3x2 – 2x + 1) dx

A: We know the integral formula, ∫xndx=xn+1n+1+C

Q: 4. S Vtanx sec6x dx

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Q: 3 Evaluate: S(5x¹2x³ + 3x − 4)dx -

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Q: S(2 + vx)³ Vīdx

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Q: Evaluate VSinx dx Vsinx+VCosx

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Q: Find dy/dx

A: Given: y=∫2a1t3dt To find: dydx Solution: We know that the derivative of a definite integral of…

Q: S (7z³ + 4x²) dx

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Q: S 3x³y dx

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Q: Evaluate S 2 dx √x4+25

A: ∫1au+b du = 1alnau+b+C

Q: 9. J et dx 10. 4лr² dr

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Q: L{costy3} =.....

A: The Laplace transform of a function f(t) is given by Lft=∫0∞e-stft dt and is denoted by F(s). We…

Q: Evaluate (* VSinx dx Vsinx+VCosx

A: Here given integration as

Q: 3 Evaluate: ³₁₂₁(4x²y — z³) dz dy dx

A: Topic = Integration

Q: a) Só xv4 - x2 dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 5. S V16dy = 6. J 2 V8dc 7. J 3 27dx

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Q: Evaluate kz dx dy dz 128k D 126k O 122y 124z 128z 126z O 124kO 122x 0

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Q: | (b) b)5zVE+z-/2 dx.

A: To evaluate the given integral

Q: х — 3 7. S dx (25- (х-2)2

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Q: Evaluate ſ / 21 + 12x – 9xr“ dx -

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Q: dx S 16+4x2

A: The given integral is

Q: 20. Evaluate S (4x7 + 20* – 3e2x +)dx

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Q: S,12x – 3|dx 3. -

A: ∫04|2x - 3|dx In the limit 0 to 4, we need to open the modulus sign: fx = 2x - 3 = 0   ⇒ x = 32  So,…

Q: Só x*(2 + x*)dx = 5/8 O 7/8 О 18 O 3/8

A: To evaluate the value of the given definite integral. Note that: ∫xndx=xn+1n+1+C  (C is an…

Q: уз dy S 1+9y2 3.

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Q: S(3x2 + 2) V4x3 + 8x dx

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Q: Find Inz3 -dz

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