5 • 35 f(x)dx = 3. Find f(7x)dx if 7 Enter the exact answer. | f(7x)dx

Q: d -(3x² + 11)e¬ª at x = –1. dx Evaluate

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Q: 5 If [ f(x) dx = 18, then 5 (f(x) + 4) dx is equal to:

A: Using the properties of Integrals

Q: S (x5 –x³ – 6x) dx is the same as x²+2 A В (x³+3)dx 4x dx x2+2 D +x-- 8x dx x²+2 E F None

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

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Q: Find S(2r)dx if f(x)dx = 3. Enter the exact answer. f(2r)dx =

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Q: x-1 (d) S. dx . x5

A: Given

Q: · 8 Find f(x) dx = 5 (5 f(x) – 6) dx 8, and

A: Given ∫211f(x)dx=5∫25f(x)dx=6∫811f(x)dx=4

Q: e そo 3/2 S-スス)ん dx (4x²+1)-

A: We have to find the value of the integral  ∫(1-x2)3/2x6dx Note- since you have posted multiple…

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Q: Sla 1 z dx |(25 – x²)3/2]

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Q: d²y Find the general solution for- dx² dx

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Q: コ-6 dx 1十XS

A: Given Data: Subdivisions: n=6 Integrand: ∫0311+x5dx Function: fx=11+x5 Lower limit: a=0 Upper limit:…

Q: So d e2x 0 e2-5 dx is equal to

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Q: dx 1- S 4+x2

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Q: What is the solution of 5 |x - 2|dx

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Q: 20 Find / f(3x + 2)dx if / f(x)dx = 2. 11 Enter the exact answer. f(3x + 2)dx =

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Q: S(1 + nx² – x-1) dx

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Q: 10. fS'(x)dx -4

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Q: The solution of |x 2* dx is

A: To find: ∫ x2xdx

Q: x(x²-x+2) dx is equal to 3

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Q: Q2/ solve; A: dy - = e* * y3 dx x+1

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Q: Suppose that (x) dx=3 and g(x) dx=7, then what is 1 8. 8 the value of (х) dx ? 1

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Q: 20 Find f(3x + 2)dx if f(x)dx = 2. 3 11 Enter the exact answer. f(3x + 2)dx = 3

A: Given that, ∫1120f(x)dx=2 Now, we have to find the value of the integral ∫36f(3x+2)dx let,…

Q: Sx² cosh (1-x³) dx

A: Let the given integral be I - I = ∫x2cosh1-x3dx                   ............(1)Let,t = 1-x3…

Q: In the function given. Evaluate the integrals.

A: ∫36-3gxdx=∫36-3dx·∫36gxdx Also, ∫36gxdx=1

Q: 3 What is the value of -8e -2x+1 dx?

A: Consider the given integral

Q: 6+ | f(x) dx = 21 and g(x) dx = 14, find (3f (x) + 5g(x)] dx.

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Q: 5 (a) | x² In(2x) dx (b) x'e*dx 'xp, Jo

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Q: G. (3x ty - 2)dx + (3x ty +4)dy <0

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Q: x*dx 3. S x2-1

A: use a partial fraction to solve the integral.

Q: solve d 3 d'y = sin2x dx dx

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Q: 4 -4 x3 16-x² dx is equal to

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Q: 5 If f(x) dx = 37 and g(x) dx = 16, find [2f(x) + 3g(x)] dx.

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Q: 16 / #(x²)dx if f(x)dx = 7. Find Enter the exact answer. xf (x² )dx = -4

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Q: 13. S 5x dx x5-3

A: To integrate ∫5x4x5 - 3dx

Q: dy 1. Determine the general solution of x = 2 – 4x3 dx

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: 9. S." §, x*V9-x dx 16 dx Vx-2 10.

A: We need to evaluate the given definite integrals, to sove we will use the substitution method.

Q: 5. St? V1- t dt (2x+3) dx 6. S (x2+3x-6)

A: Please see the answer below.

Q: 8) ff(x)dx; f(x) = 1 + 2cosx, ((²7) x + 1, sxs" TC < x≤ π

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Q: dy Q2) Solve x – 2y = x³ cosec 2x dx

A: The above equation is a first order differential equation know as Leibin'z linear equation. The…

Q: (3) S 4-x² dx

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Q: -2 S.f(x)dx -4 a. b.5°2f1x) dx C.5f(x) dx

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Q: a. S(x² – 1)e*²-3x dx

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Q: 5 dx is: V4-x2

A: Given:  Let I=∫54-x2 dx To Find: To evaluate the given integral.

Q: Q3: Show that S(Inx)" dx = xlnx n S(Inx)"-1 dx. Using this solve S(lnx)® dx ? -

A: problem:∫lnn(x)dxintegrate by parts: ∫fg'=fg-∫f'gf=lnn(x), g'=1f'=nlnxn-1x, g=x=x(lnx)n-∫n(lnx)n-1dx…

Q: x+3 k) S- dx x2+6x-11

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Q: fo³x² 10 xx(In x + 1) dx

A: The given integral is  ∫0∞x-xln x+1 dx

Q: 1. If g (2) = 59 and fg'(x) dx = 25, what is g(5)?

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