1 Integrate with respect to x. 4+ 25(3x +1)²

Q: integral of 9(t-1) / t^2(t^2-9) dt

A: Integrate: ∫9(t-1)t2(t2-9) dt

Q: 10. Evaluate the integral. dx x²/4 – x²

A:

Q: 1 x+1 Integrate: r21?

A: Here we have, I=∫01x+1x2+2x2dx

Q: 3. S "(o2-1)dv v2+1

A:

Q: 4. .2 + 2x) cos(2x) dx

A:

Q: 2 The solution of integral Vu2 + u + 1 du

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Q: 4- 2x Evaluate the following integral : dx 2x +4,

A: The answer is π/3.

Q: dx integralini hesaplayınız. 1-x3

A: Evaluation of integral

Q: 1 (b) Evaluate the integral S ; dx 2x2-12x+26

A: To evaluate: The integral of . Formula used: Integration Formula:

Q: 9. Evaluate the integral J 4x2+9 1 dx

A: We can solve the integral as below.

Q: 2+3x-7) X-2 dx Evaluate the integral: Se A²+ +In|3x-6|+C Ⓡ 1/²/₁ 2²+5x+! In/x-21 +C B 3 x²+5x+In…

A:

Q: 6. Find all the values of z satisfying sinh z = = -j1.

A: What is Hyperbolic Function: The hyperbolic functions in mathematics are comparable to the…

Q: 1: Evaluate the integral 3x - 1 (x + 4)(2x - 1) I -dx.

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Q: (b) Evaluate the integral (i) | (2t+5) dt (ii) || 3x- dx 4 -2

A:

Q: 3 1 Evaluate the iterated integral 12x -1 0 3 1 °dy dx = -1 0

A: Evaluate the iterated integral.       ∫-13∫0112x2y3dy dx

Q: 2. (a) | +4 Evaluate the integral. √2x + 1 dx

A: Taking substitution as 2x+1 = t

Q: 2 Evaluate the integral S (3x³ – 2x² + x) dx. 1

A: We solve it by integrating polynomial

Q: 1. F (x) = sin x+ 2cos x – 5 %3D 2. G(x) = 3e* – 7log;x – 2 * 3. H (x) = 4sec x + 5tanx 4. Z (x) =…

A: Since there are multiple questions. We will solve only the first three questions. If you want to…

Q: 3. Evaluate the integral. (a) -2/3 dx

A: Evaluate the integral

Q: 1.5 3-y Q1) Evaluate the integral dx dy

A: To evaluate the given integral.

Q: -1-3x+ e3X ) im x>0 hint: L'Hopitals Rule - cos(x)

A:

Q: QUESTION 2 a) Evaluate the integral | dx (x-5) +5 b) Show that 5+4x - x² = 9-(x-2) by completing the…

A: (a). From the given problem: I=∫5x-52+5dx   ...1 Let, u=x-5So,ddxu=ddxx-5dudx=1-0du=dx

Q: 4 5 1I (2x + y)² dydx Evaluate the iterated integral 3 4

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Q: 1 Eliminabe the arbitrary constants C,e"cos 2x - 3X SIn 2x + - ZX Y C,e

A:

Q: 2) f(3x + cos(x))[3x +2sin(x)-31dx = A) 3x+2sin(x)- 3+C B)13x+ 2sin(x)- 31 +C C) other

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Q: A b B d a The integral 15x²x³43x - 19 (x + 1)²(x² - 6x +13) can be rewritten as Ax + B D C + ax² +…

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Q: 2 2х-4 2у — 1 dydx x + 1 ) Q2. Evaluate the double integral

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Q: 2. Integrate: x² In x dx a. In x+c. b. [(In x)² ++c c. [(Inx)² - Inx+]+c d. none of these

A: The given integral is x2lnx.

Q: 6. Evaluate the integrals So (x² +1) e-* dx a- b- Sx2V2 + x dx

A: Given :(a) ∫01(x2+1)e-xdx(b) ∫x22+xdx

Q: 3. The integration of x e* with respect to x is: A. e2x. В. 2хе* С. 2

A: To integrate  xex2 with respect to x: ∫ xex2dx Apply u-substitution: u=x2 Differentiate both sides:…

Q: x²-2x* 5. Integrate with respect to x x4

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Q: 5x dx. - 6 Compute the integral x2

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Q: 18 2 6x dx using n = 2, 4, and 8 subintervals 2

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Q: 12. Evaluate the integral. x² – 4 – dx

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Q: 6.3.18. Evaluate the integral. using U substitution integrate (cos^2(x)sin^2(x))dx

A: Hello, there are two functions present in the question. As the first function comes along with the…

Q: 4. Evaluate the integral 3x2 + 13.x + 11 dx I (x+1)(x +2)²

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Q: integral x^2 e^2x

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Q: 9-x2 B: Find the integral S 18-x2-y xydzdydx.

A: We have to calculate the given intregration

Q: 3 Г 3 +x = 2. - -xT secIX 4 .a O T COsecTX bO 4 +> T COseCTX .c O - +x2 4 T secTX .d O -

A:

Q: 13. Identify the best integration technique for the following: (sin.x cos³x) dx A. Partial Fraction…

A: Identify the integration technique

Q: ¥5./By homogeneous, solve The D-E! ... @(xy"). 6.5- Sec ()+():

A: To solve the homogeneous differential equation of the form- dydx=f(x,y) We use substitution y=vx or…

Q: 6. Evaluate the integral dx (4x2 + 1)(x² + 4)

A:

Q: 7. | (x² + + 2x) cos x dx

A: Apply the integration by parts in the given integral. Let  u=(x2+2x) ; dv=cosxdxThen,du=2x+2dx ;…

Q: Can i get help step by step with this problem?

A: Given,

Q: 8. The value of the integral 2[x] 1o sulsV ar 3x-[x] dx, where [] denotes the greatest integer 2[x]…

A:

Q: dx Evaluate the integral: 3/2 64 -

A: To solve the given integral problem.

Q: 4.3 Can you show me the steps to solve 19?

A: The given definite integral is,

Q: 3. Express the general solution in terms of Bessel functions: z²y" + 4ry' + (x² + 2)y = 0

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 10 a) Evaluate x cos(5 ix by using integration by parts. b) Use the trigonometric substitution x=4…

A: Hello. Since your question has multiple parts, we will solve first question for you, since first…

Q: 4 16–x² Change the order of integration. Do Not Evaluate. 5tan xy dy dx

A: Answer

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The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.