So-3x)e-3*dx 3.

Q: agrange's mea 2x in 0,

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Q: B. USING GAUSS QUADRATURE WHEN N=6 5 -3 (4x − 3)³ dx

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Q: 9. tan 2x dx 5.

A: Given: ∫0π6 tan 2x dx To solve: The given integral.

Q: Use Gauss elimination to solve

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Q: Sx(2x – 3)®dx

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Q: 0.2+ 25x+ 3x2) dx

A: Simpson's 13 rule: ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-aN and N…

Q: 2. determine ∫12/5-2x dx by using substitution technique.

A: ∫125-2xdx  This is the integral given to us.we need to perform valid substitutions to evaluate the…

Q: 77. Use substitution with u = x² + 4x + 3, = (x +2) dx.

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

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Q: 9x² + 4x + 6 dx 2 9x² +1

A: The given integral is (9x2+4x+6)/(9x2+1).

Q: 24 Find rinc dx 2. 14x

A: Above integral can be calculated using the formula below,

Q: 1. Use a trig substitution to evaluate √9-x² 3√3/2 x² -dx.

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Q: solve for t

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Q: evaluate the ntearal 4. (メースdx 3.

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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…

Q: Solve the integral. 6х — 3 1.5 -dx 4x2 – 4x + 1

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Q: (answer three only) In(x² +x)-tnx-enx 3-5- In(e1) dx

A: 3. We need to solve, ∫lnx2+x-lnx-elnxlnex+1

Q: Evaluate. (Be sure to check by differentiating!) 6 7 STOCK *XX=-=-= dx, x# 7 + 6x 6 6

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Q: 57. Use FTC I to show that x" dx = 0 if n is an odd whole number. Explain graphically.

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Q: vin'x dx

A: Given ∫sin4(x)dx

Q: Evaluate the Cauchy principal value of 2 x 50% -dx 8 x 2 (x² + 1)²

A: We have to find Cauchy Principal Value of the given integral.

Q: (5tan28 etan 28 sec² 2 Bd B

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Q: | (56- x-x2) dx has its largest Find two numbers a and b with asb such that value. a a = and b =

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Q: 3. sin(3x) = 3s in x – 4sin³ x

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Q: Evaluate: ³4₁ [2³(x + y)³] dz dy dx

A: To evaluate the given integral.∫-43∫-12∫01z3x+y3 dz dy dx

Q: Find the intergral of 2xsin(x²+1) dx Please make it step by step

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Q: 2. y = Arctan

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

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Q: Soec "x dx X,

A: If we have integral  ∫f(x).g(x) = f(x)∫g(x)dx  - ∫f'(x)∫g(x) dx where ,f(x) is first function and…

Q: Q-6: Evaluate the integral 1). dx So Jie-1

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Q: Show that esin(x²)dx < e– 1.

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Q: zoom in 28 Er m. 10 14 X+7 28 co sh tw 14x = 28(x+ 7) 14x - 28x + 196 -196 = 14x -14 = x 3. II

A: Simplification

Q: o evaluate (In x)² +3 dx,

A: answer is in next step  option C is correct

Q: to of 3g dx Be

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Q: dx is 3x-x2

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Q: use a geometry formula to find the exact value of the definite interval square root of 16-x2 dx on…

A: The given can be consider as a function,

Q: 2.. lim ay

A: We find limit of given function

Q: se: Two different con

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Q: show that ē ** Jo(bx) dx = %3D 8.

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Q: Sec(1+ 까an (품 -).

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Q: Sesch (sinhtx) sech4x

A: Given integral, ∫cschsinh4xsech4xdx To evaluate the value of the integral.

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

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Q: 105. Prove 2* dx < 4 and 3-* dx VI

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Q: In x2/25+ x² dx , we let x = 5sine. (A) True False

A: FALSEHere , the correct substitution is x=5tanθ differentiatate On both sidesdx= 5 sec2θ…

Q: 13. Use a u-substitution to evaluate /x²/(x³ – 2) dx

A:

Q: Chioma was asked to find (18x + 3)(6x° + 3x)° dx using u-substitution. How should Chioma define u?…

A: ∫(18x2 + 3)(6x3 + 3x)6dx We have to use u-substitution for the above function. To solve this, u is…

Q: Prove that..

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Q: In 15 3e-2x dx In 8

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Q: on to find at the point (-2, 3) dx² on

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Q: how that 1 dn v2

A: