x- dx Using trigonometric substitution, the integral is equivalent to A 4 sec20 tand do /2 B 4 tan-e sece de 14 © S* 4 sin0 de /3 D 4 sec0 de

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A: To find out that the series is convergent or Divergent.

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Q: Evaluate: Je*cos(7e*)cos(4e*)dx. 1 A sin(3e*) - sin(11e*) + C A 22 1 ⑥ 금sin(3e")+ Sin(11e") +C B 22…

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Q: Exercises Use the trapezoidal rule of integration to determine the value of the following integrals…

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Q: TT sin 5. Approximate dx by Simpson's rule with seventh ordinates?

A: Simpson's Rule:    ∫abf(x)dx=∆x3f(x0)+4f(x1)+2f(x2)+...+2f(xn-2)+4(fn-1)+f(xn) Where, ∆x=b-an We…

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Q: 2x+3, x<1 f(x) dr if f (x) = 5, Evaluate -3 A 21 B 19 28 16

A: fx=2x+3,x&lt;15,x≥1

Q: Suppose g is a function which has continuous derivatives, and that g(8) =-2, g(8) = 3. g"(8) =-4,…

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Q: Question 9 x2 – 4 dx Evaluate: ,2 - 4 + sec C %3D В Vx2 – 4 + 2 sec® + C © =2/ x2 – 4 + sec -1 +C D…

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Q: Find the Integral by using the substitution method.  x(7-x^2)^1/2

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Q: 1. Find the following derivatives: d E In (1 + In(t)) dt A P B = In (1 + In(t)) dt dr 1/a d E| In (1…

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Q: Question 12 is 2V5 – Sin|Vã + s| + C. Vits dx The antiderivativeof |- 5ln x +5 A) True B False

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Q: Evaluate: cos32xdx cos³2x - +C 6. cos2x (A) cos32x +C cos2x B sin2x sin32x +C 6. = 2 sin32x + C 6.…

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Q: Find the centroid of the region. NOTE: Enter the exact answers. (7, 9) (?, ?) %3D y = 23

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Q: sing reciprocal substitution *= the integral - dx reduces t I dz -1) 13 -dz (z?– 1) 1/3 zp- D dz

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Q: The data is known as follows: 7 4 5 P(x) | 48 | 100 294 900 | 1210 | 2028 10 | 11 13 Using Newton's…

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Q: Evaluate: 2ev/x+ 1) + C (A) ® =2ev(/x-1)+C B 2evx(/x-1) +C = 2ev(/x+ 1)+C

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