2. 3) 2)/Cos 391 den

Q: 10 dx 2х — 1 + C - 2 In|X| – In|4x² – 4x + 5| + arctan 4x3 – 4x2 + 5x - II

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: raluate the following indefinite integral. Ssin x sin2.x dx

A:

Q: tan³ (2x) dx J cos4(2x)

A: Consider the indefinite integral  ∫tan32xcos4(2x)dx To evaluate the integral, first rewrite it using…

Q: (b) Evaluate the integral using by parts (* sin 2xdx formula:

A: Let I=∫x2sin2xdx. We have to evaluate the integral by using integration by parts.

Q: Give a geometric argument that explains why the integrals have equal values.

A:

Q: 3 Which of the following is equal to sec ² x tan³x dx to obtain the correct indef inite integral?

A:

Q: 42x 4. Jx*e2" dx

A: To Evaluate:

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

A:

Q: 6x COS cos (3e2") dx.

A:

Q: Evaluate the indefinite integral.

A: To evaluate the below indefinite integral.

Q: r cos (2x) COS

A: Given : The integral is ∫ cos4(2x)sin4(2x) dx .

Q: Rewrite the integral using substitution: 3 ₁³ (x² cos(4x³)) dx

A:

Q: What is the integral of cot^3(x)csc^2(x) dx?

A:

Q: Evaluate the integrals.∫cos x/sin7/4 x dx

A: The given integral is ∫cosxsin74xdx

Q: Which of the following is equal to sec 2 x tan³x dx to obtain the correct indef inite integral?

A:

Q: Evaluate the integrals.

A: According to the question, we have to evaluate the integral ∫0π1-cos23θ. The above integral is…

Q: Use any method to evaluate the integral. 8 dx (16x? + 1)?

A:

Q: Find the following indefinite integral. |(5sin(y) + 4sec(y)tan(y))dy

A:

Q: 2- Solve the following integral with details 1 erlao cos? e r² dr sin@de ø do = x X = ? o 32ña

A: Given integral is  ∫02π∫0π∫0∞132πa05r3e-ra0cos2θ r2 dr sinθ dθ ϕ dϕ=x

Q: Use the Table of Integrals in the back cover of Stewart's text to evaluate the integral 2x sin(x?)…

A: We will use the formula here  2 sinA cosB = Sin(A+B)+Sin(A-B)

Q: Evaluate the following integral. 4 3е ху dz dx dy -111

A: Given: ∫-14∫13∫1ex2yzdz dx dy

Q: 2 sin(x) cos(5x) cos(x) dx

A: To Integrate: ∫2sin(x) cos (5x) cos(x) dx

Q: -aluate the following integral cln 2 cosh x UTM =dx. sinh? x + 4 sinh x + 2

A:

Q: Find the following indefinite integral. |(4cos(y) – 2sec(y)tan(y))dy

A: Explanation of the answer is as follows

Q: Solve for the integral of the following using substitution and integration by parts. ∫2x3sin(x2)dx

A: This question is related to indefinite integration, We will solve it using given information.

Q: 5 sin (x) cos(x) In(sin(x)) dx

A:

Q: 1 dx xVx² – 1

A: Follow the steps and carefully do them.

Q: 8 6. 3. + 2x+3)dx 4. + dx

A:

Q: 7/2 tan x dx 0,

A: We need to evaluate the integral:∫0π2tanx dx

Q: (12 3 sec* 3xdx 15.

A:

Q: Evaluate the following integral [Y*arctan(1/2)de

A:

Q: use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.

A:

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

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Q: csc* 0 cot* 0 de -4

A:

Q: Show detailed solution for the following integral: (Non-anonymous questionO) S tan'z sec³z dz 7

A:

Q: Evaluate the indefinite integral: (3e" + 6 sec? u) du: |+ C.

A: As per guide line we have

Q: 1 dx sin°(2x)

A: Solution:Given∫1sin6 2xdxFormula;d uv=vu'-uv'v2sin2x+cos2x=1∫xn dx =xn+1n+1

Q: Determine the following indefinite integral.

A: The given integral ∫1+3cosθdθ

Q: [3x e dx Зх е

A: The objective is to evaluate the integral by parts.

Q: Find approximate value of the following integral by using the trapezoidal rul 10 " 10 sin(20x²)dx…

A:

Q: Evaluate the following integral cln 2 cosh x dx. sinh² 0. x + 4 sinh x + 2

A:

Q: Calculate the following integral 1 Yez? - dædy 1

A:

Q: Use property 8 to estimate the value of the integral 1,12 15/0 - 58 a dx.

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Q: S yArc cos ydy

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Q: Evaluate the following integral. 3 4 cos °(5x)dx 4 cos (5x)dx =| 3

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Q: Evaluate the integrals ∫2 sinh (sin θ) cos θ dθ

A: Our Aim is to evaluate the integral given below:-I=∫2 sinh (sin θ) (cos θ) dθ -(i)

Q: Evaluate the following integrals. S(sin(4x) + cosh(3x))dx

A:

Q: 5. Solve the following integral using integration by parts: finx dx

A: