I-1 I 1² +51 +8 dz

Q: 1 dxdy (2x+3y)² 2

A:

Q: 2√2 X 1 ²³ t³ √²-4 dt

A:

Q: (8 + 5i) – (2 + 3i)

A: Given : (8+5i) - (2+3i) To simplify the given expression. Here we  will use-…

Q: The line in the direction of i −3j + 4k through the point (1, 0, −2).

A:

Q: sec² (w) - -dw 4w2 +1 10.

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Q: (5 – 6i) – (3 – 2i)

A: We have to perform the subtraction between two complex numbers.

Q: oB coser sec 2o -

A: To find the value of 2cosec20°sec20°

Q: x² + 4x - 4

A:

Q: 2p- dz 3.

A: We first factor the numerator and denominator to simplify

Q: J 3x - 2 4x² + 4x + 17 dr

A: Breaking the numerator is the key here. After that, break the given function into two parts and then…

Q: Evaluate -1 8i+9 i=1n²

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Q: の 2dx (3×+12メ-15) ー2

A: Given I=∫23x2+12x-1512dx

Q: -dx 2x3/2 — Зх2

A: Given : ∫x2x32-3x2dx ∫x2x32-3x2dx = -∫x3x2-2x32dx Now, let us solve ∫x3x2-2x32dx Let us take  u=x⇒…

Q: z =1+2i

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Q: (2æ + 5)² dx

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Q: V= (6-3x-24) xdy

A: In the question we have to find the volume of the given integral function.

Q: (2+3X) dx 2-4x-3x2 SUDDIN

A: We will solve this integration by substitution.

Q: ..=A+B Ā +B al. B = 2ī + 2j - 2K 3Ā = -i- 3j- k US 1/

A: Given A¯ = -i¯-3j¯-k¯B¯ = 2i¯ +2j¯ -2k¯

Q: 2 15х? -13 dx - 14х За +2

A: We will apply long division to solve integral

Q: 3. S dx xVx6 – 1

A: Here we have to solve the given integration.     ∫dx/{x√(x6-1)}

Q: V9 – 4x2 dx

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Q: + C 2x dx

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Q: (1 +i)(13 – 4i)(1 - i)

A: We have to simplify the given expression: 1+i13-4i1-i We know that a+ba-b=a2-b2i=-1i2=-1 Where, i is…

Q: 1 da (2a + 1) +1) 1. 8.

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Q: 2.

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Q: Which of the following represents vector u RS in linear form, where R (-19, 6) and S (-35, 13)? =

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Q: х — 2 dx 4x2 + 4x + 1

A: We will use substitution and arrangements of terms to solve this integral

Q: b. 3+V5-x 3I

A: