Ady - ydx - x*ydy txg*dn 3

Q: ちad; mpliいyiy txy = x -x +2

A:

Q: lim In(12x + 1) csc(4x) A) 0. B) 1. C) e. D) 3.

A: Given that limx→0+ ln12x+1 csc4x Evaluate the given limit

Q: dx 1-16X x91-1

A: I am going to evaluate the given problem using the trigonometric substitution.

Q: dx Evaluate: 1) 2) -2x 3) 4) 5) 5-y'

A: *** As per our guidelines, we are supposed to solve only the first three problems/subdivisions.…

Q: | 4x' /2x* – 2x - 7 dx. Evaluate

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Q: ə e(g?+5xy-24 +4) dx x(2x + 2y -1) dly + メ

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Q: | Te2r– 11 2x dx 7e2a – 11

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Q: In (x²) dx e²

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Q: dx Evaluate: a) - x² +4x + 20

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Q: 4x dx Evaluate

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Q: Sx³sin (x²) dx

A: Let's solve given integration.

Q: dx Evaluate So x²+4

A: Follow the procedure given below.

Q: dx 25. /1 - x²

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Q: Evaluate dx -[In(x³/6x +5)].

A: Given : ddxlnx36x+5

Q: dy dzy dx2 てスえ)

A:

Q: Evaluate dx 2 1-x

A: We have to evaluate ∫23x1-xdx. We know that ∫dxx2-a2 = 12aln x-ax+a+C

Q: dx Evaluate xVx2+1

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Q: 2x -edy+alye -x) dx

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Q: dx. = 9) Evaluate 2x-1

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Q: .2 dx Jo (9 + x²)2

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Q: Show that (xcos(2x)dx=. A-2 8

A: LetI=∫0π4xcos2xdxPut 2x=udifferentiate on both side2dx=dudx=du2As x→0 then u→0As x→π4 then…

Q: (2x+5)dxt 3y dy = o

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Q: @d (2x"+-Nx) ®d ceax. In (2x+5)) dx OS (X+3) dx

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Q: Evaluate 2х— 7 -dx J x2 — бх + 10

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Q: Evaluate: J6e2 -x(x²)dx

A: Find your answer below

Q: 1 dx x²V9-x² Evaluate

A:

Q: Evaluate the follo 1) , 3x(x-5)dx

A: Given integral is: I=∫-123xx-5dx

Q: dx. 6. Evaluate: 2x - 1 -1

A:

Q: dx Evaluate : 1-

A: Consider the given: ∫dx1−xApply u-substitution:u=1−x∫dx1−x=∫ −2−u+1udu=−2⋅∫−u+1udu

Q: Sx²e* dx = %3D

A: Answer

Q: e2y (е) dy |19+ edy)

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Q: Evaluate. Use a capital C for any constant. dx 7x2 4 %3D -

A:

Q: a) Evaluate -5 S₁v 1 √√4 − (x − 3)² dx -

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Q: dx Evaluate 34 N2 + 3x - 2x

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Q: ¹₁¹+x² x + 2y dy dx -12x²

A:

Q: dx Evaluate xx2 - 1

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Q: dz %3D

A: Answer is- 36.5 Explanation is given below...

Q: rtan can-(cotx), dy dx: 10n a. 44 b. 157 44 20n с. 44 2. d.

A: As per our guidelines we need to solve only one question. Please, repost the reamaining questions as…

Q: dx Evaluate -1 x2 - 0 -2

A: The integration formula is ∫xndx=xn+1n+1+C.

Q: find dy/dx if 2x3-5y4+4xy=12

A: The derivative of 2x3 – 5y4 + 4xy = 12 with respect to x is computed as follows.

Q: 2tan-1(x) dx = - In2 2 (b)- In4 (0) + In2 (d); - mn

A: Given:- I=∫012tan-1(x)dx

Q: dx = - 4 In|x| +C %3D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: ample 4: (y-2xy)dx (x-2xy)dy

A: We have given that   A defferential equation is given.  Now solve it .

Q: Evaluate ∫x3 √(1 - x2) dx using a u-substitution

A: It is given that,∫x31-x2dx     We have to evaluate using a u-substitution.

Q: | dr In (t² + 1) dt.

A: We will use the formula ddx∫a(x)b(x)f(x,t)dt = ∫a(x)b(x)∂∂xf(x,t)dt+f(x,b(x))b'(x)-f(x,a(x))a'(x)

Q: Evaluate dx (1-x²)

A: ∫x21-x25dx=-∫x2x2-15dx                         =-∫x2x-15x+15dxUsing partial fraction expansion for…

Q: 2. TEノ %3D

A: We are asked  find the critical points.

Q: Show that dx (a) - x² +1 2

A: Since you have asked multiple question, we will solve the first question for you.If you want an…

Q: Evaluate : |xtan-1x dx

A: The given integral is                                      ∫x tan-1x dx