Determine the following indefinite integral. ( 2 + 3 cos(y) 2 dy sin²(y)

Q: 2. Calculate the following integral: dx (a) sinh? x – 4 sinh x cosh x + 9 cosh² x +*) u (1– x²)² x…

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Q: Find the following indefinite integral. (5 -0.25x Jox=D -0.25x +3e d%xD (Type an exact answer in…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt cos²(t) V7 + tan(t)

A: Integration Question

Q: Evaluate the following integral. 2 8y sin y dx dy 0 0 İT 2 8y sin y dx dy = (Type an exact answer,…

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Q: 2. Evaluate the improper integral. e COs x dx

A: I=∫0∞ e-x cosx dx Integration by parts;Formula:∫(uv)dx=u∫vdx -∫dudx ∫vdx dxu=cos x, dudx=-sin…

Q: Q2 (a) Calculate each of the following integrals. sin 3 0 cos'e 1 S sin x(cosx)4 dx

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Q: Evaluate the integral [e2 cos(2x)dx.

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Q: 2.Find the following indefinite integral without substitution. S sec y (tan y- sec y)dy

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Q: A. Evaluate the following integrals. ´sec² 0' dx 4. tan 0

A: The integration of the integral is sec2(theta) /tan(theta).

Q: (sec2 x + csc2 x)cos2 x dx

A: Given: I=∫sec2x+csc2xcos2xdx   Use the trigonometric identity; 1). sinx=1cscx 2). cosx=1secx And…

Q: b) [ cos 20 do 5+4cos 0 BAŞARILAR

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Q: evaluate the following indefinite integrals using appropriate integration formula

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: 3. S e*V1– e*dx

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Q: Find the following indefinite integrals subject to the initial conditions a) y'= with y(1)=0 x²+6'

A: topic - differential equations

Q: Evaluate the integral of sin^6 x dx from 0 to T/2.

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Q: 1. Compute the following integrals. (a) sin (e) dx. 4 dx. - (b) x2

A: we have to calculate integration

Q: Compute the indefinite integral of the following function. r(t) = (13 cost,7 cos 5t,3 sin 6t)

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Q: 4. Evaluate the definite integral_ TC 3. sin(3t) dt 0.

A: Explained below

Q: In the integration of (cos y)^2 dy/(1- sin y), what is the first step to solve the integral? *

A: Given,          ∫cosy2dy1-siny

Q: a) Evaluate the following integrals 1) xe3*dx 2) | x2 sin x dx 3) | x sin 2x dx

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Q: Evaluate the integral. (Use C for the constant of integration.)  e−θ cos(6θ) dθ

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Q: Evaluate the definite integral. 1 6 cos(at/2) dt

A: Given:        ∫016cosπt2dt Taking constant out      =6∫01cosπt2dt substitute u=πt2…

Q: Q1: Verify that the given functions are solutions of the corresponding integral equations by using…

A: Given: ₵(x)=xex and ₵(x)=exsinx+2∫0xcos(x-t)₵(t) dt

Q: Determine the following indefinite integral. /) dx ,9 dx =

A: Given:                      ∫x5-x95dx               =∫x52-x95dx              =∫x52dx-∫x95dx…

Q: Evaluate the following indefinite integral: 2(1 + e*) dx (x + e*)3

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Q: Evaluate the integral. integral  cos 3x e x dx

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Q: find the indefinite integrals. 1. ∫ e−0.05t dt 2. ∫ (3/t  -  2/t^2)  dt

A: case 1:The given indefinite  integral  is ∫e-0.05t dt.Let u = - 0.05t, then du/dt = -0.05.

Q: Determine the following particular integrals: -{3x²e-x} 2.1 2.2 1 D² + D-1 1 D² - D+2 {8 sin x cos…

A: To Determine: the following particular integrals:   2.1 1D2+D-13 x2 e-x 2.2  1D2-D+28 sinx cosx

Q: Find the indefinite integral.∫(cos5 t/√sin t)  dt

A: Given information: The indefinite integral is ∫cos5tsintdt Trigonometric identities used:…

Q: Evaluate the multiple integral cos(x - y) dx dy

A: Here we have, I=∫11+π2∫1ycosx-ydxdy

Q: Evaluate integral. integral 0 to pi/4 (1+cos^2theta/ cos^2) dtheta

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Q: Find the general indefinite integral using definition. (3t*-t3+6t2 b) S(3 sin x – 4e* + 5* + 6) dx -

A: Integration Question

Q: Evaluate the integral. (Use C for the constant of integration.) cos 30 de

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Q: Evaluate the following indefinite integrals. 1. Jx²dx 2. S(x³ + 2x)dx 3. S(a)dt :a = constant

A: Solving the problem by finding the indefinite integral.

Q: Evaluate the integral. (Use C for the constant of integration.) e-0 cos 80 d0

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Q: 10. Find the indefinite integral. Te cos 3t dt dv u = du = v =

A: Given integration is : ∫e9tcos3t dt   To find the value of integration.

Q: 1. Determine the following indefinite integrals: S (Ax-1 - Bx-3 + Vx") dx a) ez (wt) – cos(Ewt) )…

A: A=2.6, B=6.4, C=2.6, D=3.4, E=2.7 To find:-

Q: 2.2 Evaluate following integrals. .sin VT cos E 2.2.1 dx

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Q: Find the indefinite integral. (Use c for the constant of integration. |(ei + 3tj + 16t°k) dt

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt cos?(t) V5 + tan(t)…

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Q: 1. Evaluate the following integral by changing the order of integration. I| Cos(2*) dx dy

A: Topic: integration

Q: Find the integral of e*cos (x)dx

A: The given integral is:∫excosxdx.We will use integration by parts formula to evaluate the above…

Q: Evaluate the following indefinite integrals. Show your solution. 1. f5 einx(sin x + cos x) dx ecos…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt cos²(t) /4 + tan(t) 6

A: To evaluate the given integral.∫dtcos2t 4+tant6

Q: Evaluate the definite integral. cos(Tx) dx 0.

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Q: 1. Evaluate the following integrals using integration by parts. In x | sin-y dy

A: "Since you have posted a question with multiple sub-parts, we will solve   the first three sub-parts…

Q: 2. Find the following indefinite integrals. (a) / sin(In(x)) xp (b) / º etan-(x) dx x2 + 1 sin(t)…

A: (a) ∫sinlnxxdx Let; lnx=t⇒1xdx=dt     =∫sint dt=cost+C put again: t=lnx =coslnx+C Result:…