Find the inde finite integrel. de 9- 16x"

Q: Graph the integrand and use areas to evaluate the integral 5 4x dx

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Q: Calculate the integral ∫(2cosx−5sinx)dx.

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Q: is intea rable Primitive aR 2 > X 3 1 2. 1 ラメラ 。 (今さ うx 31 ラ× %3D >入う。

A: we have Fx=0            0≤x<12x-1    1≤x≤2and fx=1     0≤x≤12    1≤x≤2 i The primitive of a…

Q: Evaluate the integral cosfa)

A: We have to evaluate the integral

Q: Evaluate the integral. 11 sec 40 tan ²0 do 11 sec 40 tan ²0 d0 =

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Q: Evaluate the integral using FTC I.

A: Given integral is: int03 e1-6t dt We have to evaluate the above integral.

Q: cosa drdy =?

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Q: Identify the integrand in the given definite integral. ∫05 5t2  dt

A: The given definite integral is,

Q: sec sec |tar xp xp Suea () 2asS

A: We put sec(π/x2)=u and differentiate both sides with respect to u .thus we get du and value of…

Q: I, FIND HE NET AREA OF fos) - Zx and gx)= O FROM [-3,3]

A: Given : Functions f(x) = 2x and g(x) = 0   To find : Net area of f(x) and g(x) from [-3,3]?

Q: graph the integrands and use known area formulas to evaluate the integrals.

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Q: Find the integral ∫(sec2ti+lntj)dt.

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Q: By converting the integral I- rdrd® into Cartesian coordinates, we get:

A: Here we will assume coordinates for converting polar to cartesian. x=rsintheta y=rcostheta…

Q: Evaluate the double integral S ry° dydx

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Find antideriuative Flx) of the an flx) = _8 sinx 13 + COSX functian such that FlO) = 1 %3D %3D

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Q: Define Riemann integral in R^3

A: Partitions of an interval-   The partition of an interval [a, b] is a finite set P of points…

Q: 5) Set the iterated double integral ļ) dydx メモービ テ as Jady up

A: Please see the below explanation.

Q: To integrate by u-substitution, which part of the integrand should you choose as u? SG) · 2ª · In 2…

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Q: Scos -de cos

A: We have to evaluate the integral ∫cos3θ3dθ.

Q: Use Trapezoidal and Simpsons 1/3 rule to estimate integral ( - 2x° + 7x - 5) de.

A: The expression ∫13x3-2x2+7x-5dx. We have to use Trapezoidal and Simpsons 13 rule to estimate the…

Q: sec =zydy

A: Given

Q: Evaluate the itegral by interpreting it in terms of areas. 0. 3 + 100 - x2 ) dx -10

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Q: Compute this integral ∫ (xsin^2(x)cosx) dx

A: We use integration by parts

Q: Se* sin 2xdx

A:

Q: Consider the definite integra

A: Given,            ∫1424x34x2-1dx

Q: Evaluate the integral using FTC I.

A:

Q: Calculate the integral ∫cot2xdx.

A: We first use the Pythagorean identity

Q: Evaluate the integrals in Exercises 45. tanh dx 46. coth de

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

Q: 4case da 3+2Sine

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Q: Graph the integrand and use integral. geometry to evaluate the 3 28) 7x dx

A: Given the integral,

Q: Lex+3y dxdy

A:

Q: Evaluate the iterated integral: dydx.

A: Definition used -                                                                       Where…

Q: Graph the integrand and use areas to evaluate the integral. 7) V49 - x2 dx -7

A: Given:   Compare the above equations, Therefore, the above equation is the equation of the circle…

Q: cos'xsin*xdx IN

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Q: Evaluate the integral (2³ + 1)'/³,³dx.

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Q: Evaluate the integral. arctan(5t) dt

A: Here we evaluate the integral∫ arc tan 5t dt

Q: Evaluate the integral. ∫arctan 4t dt

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Q: Evaluate the integralt uie dr using the two-point Gaussian quadrature rule. 1416z | e - je 0 O o o O…

A: For the integral I=∫abf(x)dx, the Gauss quadrature 2-point formula is, I=b-a2w1fm1+w2fx2 where…

Q: 3e ¼ cos Od0

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Q: Please some de intgeadi %3D Vzx+3

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Q: Use Green's Formula to evaluate the line integral along the positively oriented closed curve C:

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Q: Compute the integral S do 2-sin 0 *

A: Apply linearity: Apply tangent half-angle substitution:

Q: Write the integrand in terms of u. 2x (x + 1)' dx = du %3D Evaluate the integral.

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Q: find inmporopor integreal STæra o dze

A: To solve the improper integral

Q: Find the integral ∫cothx/3dx.

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Q: Graph the integrand and use areas to evaluate the integral. dx -1

A: ∫-11(1+1-x2)dx

Q: Evaluate the integral using FTC I.

A: