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## Related Calculus Q&A

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Q: ∫-21 (6-x-(x2+4)) dx= ∫-21 (-x2-x+2)

A: The given equation is,

Q: Show that: -1 xb-1 In x dx b2 2-

A: we use integration by parts

Q: -7, 2x (x2 + 1)dx

A: We can find the integration as below

Q: -3 / Find f(x2 + 2x + 5)7 dx.

A: Click to see the answer

Q: TOPIC: Integrals Involving Inverse Trig Function

A: We have to find the integral

Q: 4. y = 5 tan 3r 2-

A: y=5tan3x

Q: y''- 2y"=cosh(2x).

A: Click to see the answer

Q: Determine whether f(x) approaches ∞ or −∞ as x approaches −2 from the left and from the right.

A: Given: y=tanx4 for checking at x=-2, first we draw graph of it as below

Q: Find 3 3x3 3 2Va ) dx - x5

A: here we have to find the integration of given function. the solution is following.

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Q: エ- Se -2 X e "sinzxdx %3D Sinzx-

A: Click to see the answer

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Q: ,2 Evaluate (3x2 – 2x + 1)dx

A: Click to see the answer

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Q: -1 x 2. y = cosh 4

A: Click to see the answer

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Q: 9-x² dx 2 x4

A: Click to see the answer

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Q: D. f(x) = In x + 2e - 3x2

A: Click to see the answer

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Q: 11. tanxcscx - 2tanx = 0 %3D 12.2sin'x + 5sinx - 3 = 0 13.3sec'x - 5secx = 2

A: Click to see the answer

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Q: Evaluate ſ tan2 2x sec 2x dx 4

A: Click to see the answer

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Q: z = 6x + y2 tan 4

A: Click to see the answer

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Q: (b) f(x)=2x +7atx =0

A: Answer

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Q: Find 1 SC + sec²6x + 9)dx: e3x None -3x tanbx + 9 x + c 6 -3 -3x tan3x + 9 x + c 6 -3 e-3x tanbx +9…

A: We can solve the given integral .

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Q: (iv) y = (x³ + 4.x² – x*/3)(x7 + x³ – p³ + 2x – 9). - -

A: Click to see the answer

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Q: 9el+2x° dx x1ºel+2x9 19, 22.

A: Click to see the answer

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Q: 3 If y=/x²5x²_36 X25x²-36 14 3, (x²3x²+¥x-12 shuw that dž dx4 24

A: Click to see the answer

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Q: If y 3 , then dx 5x2-3 10r2 3V/5x2-34 35x2- 3) 5x2-3 10x 3 3(5x2-3)2 10r 3 35x2-3)

A: Find the derivative of the given function.

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Q: 15.f mOT-(27+ 3)', mRT- (9x – 5)" and MRST - (10x-2), find mi.

A: Given, QT⏜=27x+3° , RT⏜=9x-5° and ∠RST=10x-2° .

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Q: Find the intergral of dx/(x^2+6x+13)

A: Click to see the answer

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Q: 19-x² dx 2

A: Click to see the answer

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Q: s.fx 5. x3 sin 3x dx

A: We have to find the indefinite integral

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Q: f:R- {- } - 5x-4 -, f(x) = %3D 3x+7

A: Click to see the answer

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Q: Evaluate the integral using FTC I.

A: Click to see the answer

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Q: If 4x5 − 2y5= 25, show that d2y/dx2 = −100x3/y9

A: Click to see the answer

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Q: Date ! الموافق find the equatlon F(X) 4x + 6 X- 6x -5 ab 2 2 F(X)_4x?

A: The given function is:f(x)=4x2+6x2-6x-5To find the equation of tangent line at x=-6

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Q: : Evaluate: r 2x3-4x2-x-3 dx | х2—2х-3 |

A: Click to see the answer

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Q: 6. [(2- tanxsecx) dx

A: The solution is given below

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Q: tan³(9/z) dz z2

A: Click to see the answer

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Q: 15. y= 2x +3 at x = 27

A: Click to see the answer

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Q: 218-x2 3/2 Ex-(7 Cメゴ) lydx

A: Given: ∫02∫x8-x2 x2-y232 dy dx

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Q: Integration Evaluate the following integrals.

A: Given integral, ∫9x2+x+213x2+72dxwe have to evaluate the given integral

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Q: to use absolut 5n dx (x- 1)(x2 + 4)

A: Click to see the answer

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Q: 2: 2x, + 5xz hjecked toi X-Xz77 。冬以ハメ

A: Here you didn't given that the problem is minimum or maximum.

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Q: = - sin(-2x +4) + 5 II

A: Click to see the answer

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Q: Find the slope of the graph of the function at the given point.

A: Click to see the answer

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Q: 9. Evaluate -2x +9x-1 dx (x² – 2x +1)(x +2) -

A: Solve the problem using partial fractions

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Q: Find the second derivative. 3 2. y = 7x-8x+4 e* O A. 28x-16-4 e^ O B. 16x- 28-4 e O C. 16x- 42 + 4 e…

A: A function is a relation which maps each value in its domain to exactly one value in its range. The…

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Q: V9 - x dx -3

A: Given: I=∫-339-x2dx for finding given integral we will given below property…

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Q: seèx-tanx 3

A: Given integral :

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Q: state what method applies and how one applies it, but do not evaluate the integral:

A: Click to see the answer

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Q: Find dy 3 2. -3x

A: Given that, f(x)=x3-3x We have to find derivative of the given function.

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Q: 1 ,-(x-a)/b dx a

A: Click to see the answer

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Q: 2. f(x) = 4/x – 5secx

A: Here we use following derivatives-

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Q: Find: that: fl4) = -8 f'(4)= -8 %3D glx)=r

A: Given: g(x)=x f(x)f(4)=-8f'(4)=-8