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Q: 20. Use u substitution to evaluate. S secrtant 1+secx dx

A: Evaluation of the indefinite integral by substitution method

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Q: then [, riwar-? 15 If f(x)dx= | Fx)dx=5, | f(x)dx=? and 2 Hide answer choices 25/2 В 19/2 5/2 9/2

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Q: SPA 32 Select one: True ● False dx dy = 13 2

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

Q: 25-x2 In dx , if we letu=V25-x² , then udu= – xdx.

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Q: 1-y² L In (r* + y? +

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: If , Ax) dx = 10 and , Ax) dx = 7, find , Ax) dx. Select the correct answer. O 1) -10 O 2) 17 3) 3…

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Q: 2 If In(ax)dx = 3, then a = %3D %3D 1 4 4 e4 4 ез 4 O None

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Q: Use a computer algebra system to approximate the it 2x 1I. * + 3y) dy dx

A: GIVEN DATA : The integral∫02∫x22xx3+3y2dydx Let the integral I=∫02∫x22xx3+3y2dydx First integrate…

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Q: a) 2 7e"- dy

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

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Q: 2 If In(ax)dx = 2, then a = 1 es 4 4. O None e3 4. 4

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Q: dy dxl2 Determine if y = 3u? + 2u and u = Vx? + 5.

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Q: 15. sin(2t + 글) dt = e2t-3 8. 7 4 7 64e3 7 4

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Q: In 8 et dx 64 + e2x In(1/8)

A: The integral of f'(x)f(x) is, ∫f'xfxdx=lnx+c ......1   The subtraction of logs, lnx-lny=lnxy ......2…

Q: 2sinh cosh -dx 3cosh? * 2

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Q: Prove that Ho Ge) =(-1) e" ď e dx 2. 2.

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Q: If | In(ax)dx = 3, then a = %3D 1 ex 4 4. None 4

A: Q1. First option is correct. Q2. Second option is correct.

Q: Problem 27

A: To integrate

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Q: in ze2arctao e C Itex) sec (2

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Q: 2. Sin odo Fla

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Q: o evaluate (In x)² +3 dx,

A: answer is in next step  option C is correct

Q: Inand consicr HeLines (tn) venfy Al-5,-6) isapoint of (d) 2) prme Hat (4,)-b de] 3) Cans tract (d1)…

A: Since your question contains multipart, we solve only 1,2,3. If you need any particular question…

Q: у 3 Сі сos 2х + с2 sin 2x y = cqe2* + c2xe²2x

A: See the details solution in below

Q: )find dy to yalog,o(3X+1)

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Q: 8. dy de = azte-c 2-ex

A: To Solve: The differential equation dydx=x2+e-xy2-ey

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A: e^5 / 4

Q: show that ē ** Jo(bx) dx = %3D 8.

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Q: 2) у(и? + 1)du + (из — Зи)dy — 0 -

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Q: 25 -x2 -dx, if we let u=/25 – x? , then udu =- xdx. In A) True B) False

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Q: 2 If [ In(ax)dx = 2, then a %3D 1 e4 4 None es 4 4 4

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Q: 7 tan (1/2) dz 22

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Q: Show that - dx /x²+2x+2 L- In(√5-2).

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Q: Evaluate az+1)in(d.r+1)dr. 1 dx.

A: The integration function is ∫14x+1ln4x+1dx

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Q: 2°(5 - у)' dy

A: The given integral is: I=∫2y(5-y)3 dy

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Q: If [ In(ax)dx = 3, then a %3D 1

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Q: 2 If [ In(ax)dx = 3, then a = %3D es 4 e4 4 O None e3 4 e6 4

A: Given that: ∫12lnaxdx=3

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Q: ~tu{S} o 1 In(y) dy de

A: We have to find the double integral

Q: on(1-y)csc²( y) dy

A: This question can be solved using the concept of integration by substitution.