Evaluate the integral. (Use C for the constant of integration.) e60 sin(70) d0

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) e40…

A: We have to find

Q: 4. Evaluate the lIntegral

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Q: Evaluate the following integrals. 1. dx (9+ e²=)

A: The given integral,     ∫ex9+e2x32dx

Q: In solving for the -dx, what technique is suited to solve for its integral? x²+1 A integration by…

A: Let I = ∫ x3 + 1x2 + 1dx = ∫x3 ( x2 + 1)dx + ∫ 1x2 + 1 dx, As we know ∫ 1( x2 + 1) dx = tan-1 (x) ⇒I…

Q: (c) (1) Show that e +2)e +c, where c is a constant of integration. 5 "dx

A: We have to find the integration of the equation  ∫e(i-2)xdx

Q: Evaluate the integral. (Use C for the constant of integration. sin (0) cos“(8) de

A: Given: ∫sin3(θ)cos4(θ)dθ

Q: The value of L(e2t sinh(2t)) =

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Q: (c) Use integration by parts to evaluate the following integrals: √ 2 2 e 3x sin2x. dx

A: We have to evaluate the integral,   ∫012e3xsin2x dx  by using integration by parts.

Q: II. Perform the integration. sinh? (e¬) dx eª cosh(e-¤) 2 4.

A: We have to find value of given integral.

Q: 2 b) S dx e-x +1

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Q: 13. How many times will you perform integration by parts to evaluate sin(Inx) dx? A. 1 B. 2 C. 3 D.…

A: Let's find.

Q: I. Evaluate the following integrals. •ln 2 #3. e2" sec-(e")dx

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Q: ['Y«) dx (0, Solve the integral equation : = 1+1+?. (x-1)AO, Using L.T and convolution

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Q: a) Evaluate the following Integration by parts for definite integrals. i) So xe-s*dx ii) 12 Sin-'dx

A: The given integration is  I) ∫01xe-5xdx II) ∫032sin-1xdx

Q: Q12/ Find the integration * ( 3tan3*/* sec?(x/4)dx. Your answer

A: Given the integral. Using integral calculator,

Q: Using the trigonometric substitution, the integral dx (x² 81) V x2 – 81 is equal to the integral, in…

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Q: dx When the integral| is evaluated by trigonometric substitution, exV4 – e2x the integrand is…

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Q: First make a substitution, and then use integration by parts to find the following definite…

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Q: te the integral. (Use C for the constant of integration 21x-5 dx

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Q: Given ſ 97**sin x (1+ 2 cos x) dx. There is an appropriate value of u so that the resulting integral…

A: given ∫912x+sinx1+2cosxdx this can be written as ∫3212x+sinx1+2cosxdx⇒∫3x+2sinx1+2cosxdx put…

Q: 3 sin (T|3 – 2x|) dx

A: The given integral,   ∫03sinπ3-2xdx

Q: a) FIND the following integrals: 2m i) S"(cos x +| cos x |)dx (ii) S

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Q: a. Find the approximations T10 and M10 for el/ dx. b. Estimate the errors in the approximations of…

A: To estimate the value and the error using the midpoint and Trapezoid rule for 10 subintervals.…

Q: dx the correct solution of this integral is:- 1+x A) 2 V5 В) Зл

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Q: II. Find the value of the definite integral xV[a2 – 9| +7 dx 0.

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Q: c) Evaluate the following Integration by parts for definite integrals. i) 11) , 2 Sin-1dx

A: To evaluate the definite integrals by using integral by parts rule.

Q: Q2. Use integration by parts to evaluate the following Integral 2 COs x² dx

A: GIVEN : ∫ x3 cos x2 dx

Q: 3. Using the Trapezoid and Simpson's rules, solve the integral below. a. I = x' In xdx 0,8 b. 1=…

A: To find the value of the integral by trapezoidal or Simpson rule if we take more number of…

Q: 21) Evaluate or find the following integrals 21.1) J? cot x dx

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Q: Use trigonometric substitution to find or evaluate the integral. (Use C for the constant of…

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Q: Find the integral S 8t? sin(t) dt

A: You just need to use integration by parts twice here. Have a look.

Q: ch of the following integrals is equal to the integral / f(3x-5) dx? ) dr? 7/3 ) dz

A: Please refer to the image below

Q: "/2 sin³ x dx Evaluate the following integral:

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Q: Evaluate the integral. (Use C for the constant of integration.) e cos(50) de

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) |…

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Q: 4 dx=? e.

A: ∫14 4x-e-xdx =∫144xdx-∫14e-xdx =4∫141xdx-∫14e-xdx =4lnx14-e-x-114 =4lnx14--e-x14 =4lnx14+e-x14

Q: 6x Evaluate the indefinite integral. 6e sin (e) dæ U = du 9e9x dx %3D Substitution gives du…

A: u=e^(6x) is the right substitution for this problem

Q: Using the trigonometric substitution, the integral dx (x2 - 16) Vx2 – 16 I = is equal to the…

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Q: Use integration by parts to find the integrals shares e) f sin? @ de f) esint sin2t dt 8) x²e-* dx…

A: Evaluation of the Integrals

Q: d) S cos³x sin*x dx

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Q: Solve the integral 3 | x*(a? – x²)ždx 9.

A: Given:         ∫0ax5(a2−x2)32dx

Q: Consider the definite integral 10 dx. 3x -7 V The most appropriate substitution to simplify this…

A: Given that: ∫-71110-3xdx

Q: Q /Find the next integral: (2m(E x)dx - h a

A: Given integral is 2h∫0EV2mE-vaxdx. We can write it as 22mh∫0EVE-vaxdx. Let  u=E-vax…

Q: Use integration by parts to evaluate the following integrals. Show how you get your answers. (а) /а?…

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Q: 3. Using the Trapezoid and Simpson's rules, solve the integral below. a. I= [x In xdx 0,8 b. 1=…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: A detailed solution is given below

Q: x dx x² + √√x²-1-1 The integral - (A) cose de can be transformed to which of the following using…

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Q: dx Find the integral 16 T2.17

A: Solve by substitution integration method

Q: J xe3* dx х S xsenxdx Sx² cos2xdx

A: Given that integration and we solve it by using general rule of integration. Here i attached…

Q: First make a substitution and then use integration by parts to evaluate the integral 7x°e" dx Note:…

A: