七 FIMD dy AND dy dx? OF AMP

Q: S. S. dy dx

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Q: d {in(1 — а? + а°)} dx

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Evaluate d/dx cot x

A: Our Aim is to compute the derivative of cot (x).

Q: 1. (e)dydx

A: Now we will solve the integral using substitution form.

Q: 1. Evaluate (i) dy dx, 3

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Q: Sy? sin y dy

A: Here we have to integrate the given integral

Q: Evaluate S 2y²sinxy dy dx

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Q: Find S,(4 – |x + 1|)dx. Draw a picture! 5.

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Q: d) Evaluate sech? (2x) e'anh(2x) dx by using a suitable substitution.

A: Given, I=∫sech22x etanh2x dx To evaluate I using suitable substitution.

Q: (3) SaʼIn a dx =

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Q: and du = dx L dx = , we need to set u(x) = x-1 (x-1)

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Q: S tanx It Cosuy dx

A: Topic:- application of integration

Q: ? dx = In|x| – e* + C ? S 2²+3xdx = 4 In 8 + C

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Q: Find aY and simplify the resuit whenever possible. dx

A: Given: sinxy=yx.

Q: y/+ycotx =coso

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Q: 46-% dy dx change bheorder and eva/ute.

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Q: Evaluate the given | coth - dx. 3 dz.

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Q: Evaluate ΣΓΗ en+1 dx. 1 + x? n=0 Jn

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Q: find dy /dx for Hhe followiny (इस्ट '5र) +4 (In 2X) te

A: Given : y = 3ln2x+ecscx2+4sec-15x

Q: Solve the following IVP dy у+ 2x* , у(1) — 1 dx

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Q: D. (a)S sec? 3x dx (b)S 2cosec2 4t dt 2cosec24t dt

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Q: Provide an appropriate response. Find: dx Soloct ono:

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Q: 5. (sinx + cosy)dxdy

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Q: (a) sinh? dx 2

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

Q: the solu dy + 4: dx

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Q: Find dy/dx for the following sin Jx CsC Jx %3D

A: Given : y = sinxcscx6

Q: 2x exp Evaluate dy dx y? ,2 Check Answer

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Q: Sheet No (1) 1- Evaluate (a) 1+4xy dxdy (ь) rsin'e dedr | dydx

A: Double integral is used to integrate the function of two variable over two-dimensional region.…

Q: Suppose a E R, where a > 0, a # 1, what is[a"]? dx a" In(a) © xa²-1

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Q: 2. ye* dx + e*dy = 0

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Q: (e) S, In|x| dx.

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Q: x² dx 4

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Q: @ show thatd (csex)=. dx XV x?

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Q: 5) Зхуdy %3D ху?dy — ydx + 3dx

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Q: jxe* dx.

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Q: cln 2 In 5 e2x+y dy dx Jo 1

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Q: dy dx こD > SOLYE FOR THE GENE

A: Please refer to the image below

Q: 1. dy = %3D COSX cotytanx Cosy dr

A: Given- dy=1cotytanx-cosxcosydx To solve the given differential equation. Here we will arrange the…

Q: 2. (2y? + 2 In x +1) dx +2xydy = 0 %3D

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Q: find dy/dn in5 フx 34+2

A: Since you have posted multiple question We solve only first question  for reaming question post…

Q: evaluate

A: Let's call this integral as I. Let's group the like variables and cast the integral as shown below:

Q: d d re' dx 'In x

A: To evaluate: ddxexlnx We know that ddxex=ex and ddxlnx=1x Quotient rule of differentiation states…

Q: a) I= [In(l+x)dx

A: We have to find out the integral

Q: Evaluate 8xyz dz dx dy

A: In this question, we have to solve the triple integral in order.

Q: if y= In(arctan (2 x)), dy=? XP

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Q: у — За)dx + (: urve passing thro tisfying the diffe

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Q: 4) SA tan?x dx ? А. — 1 В. 1 — С. 1/3 D. 프+ 1

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Q: Evaluate 18z dz dy dx. Enter your answer as a numerical value in decimal form.

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