Which of the following is an improper integral? @ I'm(x++1)dx A -1 (B -4 x² – x – 2 © S*« • In3e te COSK 'dr cosx D dx 2x+ 8

Q: 04 * O O Evaluate -1+2x-2x^2 -1+2x+2x^2 -1-2x-2x^2 -1-2x+2x^2 d dx 1-x fe 1² dt).

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Q: dx Vx+2

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Q: „T7/12 (1 + etan 3x) sec 2 3x dx Зе

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Q: solve xsinydx+(x2+1)cosydy=0

A: Given differential equation is: x siny dx+(x2+1) cosy dy=0 Use variable separable method to solve…

Q: -cosh(2x² + 1). Evaluate (A) 4xsinh(2x² + 1) B 2xsinh(2x²+1) C) xsinh(2x2 +1) с D (2x2 + 1)sinh(2x +…

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Q: 1 x'Vx dx –16 x*-16

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Q: CSCX-1

A: Multiply numerator and denominator by (cscx-1)

Q: integral of 70/t+9

A: Integrate the following function with respect to “t”.

Q: sinx

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Q: sinx sinx +x The integral cosx - e +e -dr may be written as mensinx + pr+ gerx + C, where m, n, p,…

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Q: 8. f sec² (3x - 1) dx

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Q: #4 tan lun sec x dx 4.

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Q: compute (x2 - 8x +20) dx on the interval (0,1)

A: To evaluate the given definite integral over the open interval (0,1)

Q: Find f if ∇f = 4xy i + (2x^2 + 8y) j

A: Here I am attaching image so that you understand each and every step.

Q: 2. Perform the indicated operations: (2D2 - 3D+5) (xcox x- 3) a. b. (D3+2D- 4) (e*sin x + e2x)

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Q: Evaluate: [(5x* - 2х* + 3х - 4)dx

A: Evaluating the integral

Q: 1-f²₁ ¹/²(y² sinx dx dy) 2-√²-dxx2 0 3- f(cscx cotx)² 2 4- f₁² x (x − 3)dx for 5-S²₂ (x³ + √x) dx

A: 1.

Q: Compute sin (3r)dr (25z4+1)2 -

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Q: dy Find , if Y = (1+ cosx)sinx dæ cos3x + cos³x – sin²x O cosx + cosx – sin³x cos2x + cos²x – sin?x…

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Q: if 01

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Q: Evaluate (i) [Hint: / 2xe" dx udv = uv - 3x (ii) dx x2 – 4x – 5

A: we have to find the following integral

Q: 2x

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Q: dr 21. (1+x²)/16 – (tan-l r)² dx e2x+2+2 22. 8. dx x2 - 6x + 25 23. 6. 24. dr J (2 - r)V - 4x +3 dr…

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