18tan"x Sec-x dx (िकपन इ)"

Q: (7x³ + 4x²)dx

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Q: 3x³ – 2x -dx x - 1 10.

A: Some integration formulas: ∫xn dx=xn+1n+1+C∫1xdx=logx+C Given integral is  I=∫23x3-2xx-1dx Let us…

Q: Please show complete solution so that i have a reference on solving. what is the integral of tan x…

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Q: arctan3 V1

A: Integral:     ∫tan-31-x(4-2x)1-xdxLet us make a substitution 1-x=z-dx21-x=dz

Q: 1 6x dx V16 + 3x2

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Q: ne integral: 16x2-25 dr crig substitution is correct for this int 4 sin(0)

A: ∫16x2-25x3dxEvaluate the integral.

Q: (8 - 3x2) dx. Given that dx = use this fact and the properties of integrals to evaluate

A: Given: ∫01x2dx=13 The objective is to evaluate the integral of ∫018-3x2dx

Q: 0- x?dx 6. 5 -1(1-х?)7

A: Given: I=∫-10x2dx1-x252 For evaluating given integral, first we simplify given expression…

Q: Please help me solve this sum Find the indefinite integral. Check your result by differentiating.…

A: Given,          ∫x7-4x23dx

Q: Please solve the integral of x/(x2-a2) by trig substitution and U substitution. Please show full…

A: To solve the integral ∫xx2-a2dx proceed as follows . Substitute x2-a2=u  x2-a2=u2xdx=duxdx=du2…

Q: Please solve the integral of 1/(x2-a2) by trig substitution and U substitution. Please show full…

A: The given integral function is ∫1x2-a2dx. Let us assume x=asin θ. Differentiate x with respect to θ.…

Q: 1. Jx cos 3x dx Sx² cos x dx 2.

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Q: Use integration by parts to evaluate the definite integral: 0.9 -200 dx 5xe %3D -0.8

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Q: How do I evaluate the indefinite integral?

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Q: What are the formulas for integrals yielding the inverse circular functions? Explain these formulas:…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: 2х2 -бх+4 dx X-3

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Q: Solve the integral. sech x tanh x 9. 9 + sech? x

A: Given integral is I=∫sech x tanh x9+sech2xdx   Substitute sech x=t sech x tanh x dx=-dt Integral…

Q: 5.0⁰0 x² - 2x+6 (x²+2)(x-2) -dx

A: We have given a Improper integral ,  I = ∫3∞ x2 - 2x + 6x2 + 2x -  2dx We know that , Improper…

Q: evaluate the indefinite integral.

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Q: (3x² + 1 +) dx 2х2

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Q: Use geometry to evaluate the definite integral. 22 x dx 22 -x dx = | (Type an integer or a…

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Q: 9. tan 2x dx

A: Solve: ∫0π6tan 2x dx. Apply tan y= sin ycos y. ∫0π6tan 2x dx=∫0π6sin 2xcos 2x dx

Q: Give atleast 1 example of DEFINITE INTEGRALS using "Integration by Algebraic Substitution". Write…

A: we have to Give atleast 1 example of DEFINITE INTEGRALS using "Integration by Algebraic…

Q: Use substitution to find the indefinite integral. 2 | 5z² – 3 dz -3 dz =

A: Given: I=∫z5z2-3dz   ...1   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: Use integration by parts to evaluate the definite integral. 3t? In tdt

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Q: Please solve the integral of 1/(x2 + a2) by trig substitution and U substitution. Please show full…

A: Consider the following integral: ∫1x2+a2dx Substitute x=atanθ→dx=asec2θdθ in the above equation:…

Q: 2e-2x – 3e3x 14. - dx e-2x + e3x

A: deaxdx = a.eax ∫1u du = lnu +C

Q: (8 - 3x*) dx. x² dx use this fact and the properties of integrals to evaluate Given that

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Q: sin x dxs- 2 5. Use the properties of integrals to verify the inequality

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Q: Ssec 3B tan 3B dB

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Q: integral of (x^2 + 4)sin2x dx

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Q: V1- cosxdx COSX

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Q: x2 dx use this fact and the properties of integrals to evaluate (4 – 9x2) dx. Given that

A: The value of the given integral is 1.

Q: Evaluate the indefinite integral (3+3 sin2(x))/sin2(x) dx

A: topic - indefinite integration

Q: Evaluate the definite integral. -82²e¬5¤ dx -5z

A: Given,  ∫01-8x2e-5xdx

Q: Evaluate the indefinite integral: 3 dx x In(4x)

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Q: 4)[ -x/2x² – 3) dx

A: given,       ∫-x2x2-3dx

Q: Integral of sqrt(4-x^2)

A: To integrate an indefinite integral

Q: За? +8х —12 dx x3+7x²+12x 3x +8x- -12х

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Q: Use integraticn by parts to find the indefinite integral. (Use C for the constant of integration 3x…

A: To find: ∫e3xsin4xdx

Q: S HENN -dx x4-4

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Q: 3 -dx 4 - x

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Q: how do you evaluate the integral

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Q: Evaluate the indefinite integral. 49 – x² -dx - x2

A: Given:  Let I=∫49-x2x2 dx To Find: To evaluate the given integral.

Q: Evaluate the integral by any method. NOTE: Enter the exact answer. dx = /4 – 3x8 --

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Q: 5. 6. Je*cos2x dx dx 3 (x+2)4 -(x + 2)2 S-

A: I have stated the used formulas in the solution

Q: 2. 8 sec Xton X-7 sec´x)dr==

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Q: Use one of the formulas in the table above to integrate dx x8 + 16 (By the way, you're going to need…

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Q: 7. V1+2 sin 3x•cos 3xdx

A: Given: Let I=∫1+2 sin 3x.cos 3x dx To Find: To evaluate the given integration.