Evaluate the integral using the Fundamental Theorem of Calculus, Part I. 22n sin (x) dx (Express numbers in exact form. Use symbolic notation and fractions where needed.)

Q: (b) Use the Fundamental Theorem of Calculus to evaluate the integral 8 x-6 So ²x+8 dx

A: Use fundamental theorem of calculus to evaluate the integral.

Q: (a) Evaluate the integral | 16х -dx by using substitution. 8x +2 (b) Evaluate the integral using by…

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Q: Evaluate the integrals using fundamental theorem. Write answer as exact value not approximation. a)…

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Q: Evaluate the following integral using the Fundamental Theorem of Calculus. 2s - 6 ds

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Q: Evaluate the improper integral. (Hint: use the formula: S- dr = sin- +c)

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Q: Compute the integral and show all the details of your work. Scos (2x)sin (2x) dx

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. sin (70) de…

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Q: x²+x dx x2+1

A: Given: ∫x2+xx2+1dx To find: Solve integral using inverse trigonometric functions.

Q: Evaluate the integral using any appropriate algebraic method or trigonometric identity. Sce tan x)d…

A: To evaluate:∫cscx-tanx2dx

Q: r430 sin x 160 cos2 x(16-sec² x)

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Q: Evaluate the integral using the methods covered in the text so far:                    ∫ cos x5−2…

A: I=∫cosx5-2sinxdx Let us suppose -2sinx=t, then Differentiating to both the sides w.r.t x-…

Q: Evaluate the definite integral using the Fundamental Theorem of Calculus. (x + Vx) dx

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Q: tan r sec r

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. | sin (2) x²…

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Q: Evaluate the indefinite integral.

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Q: (x² – 3x}dx 170.

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Q: Evaluate the integral using the Fundamental Theorem of Calculus, Part I. (Use symbolic notation and…

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Q: 4 dx = x² + 1

A: Given that, ∫-114x2+1dx=4[tan-1x]-11 =4[tan-11-tan-1-1]=4[π4-(-π4)]=4[π4+π4]=4×π2=2π

Q: 2 - 4 dx 5x

A: formula used ∫1xdx=log|x|

Q: Evaluate the integral. A/2 sin!'(0) cos (0) de COS Jo

A: Given : ∫0π2sin11(θ)cos5(θ)dθ ∫0π2sin10(θ)sin(θ)cos5(θ)dθ∫0π2sin2(θ)5sin(θ)cos5(θ)dθwe know that…

Q: Evaluate the integral. '(v©) do sec NOTE: Enter the exact answer.

A: Use basic identities of integration.

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Consider the following integral: ∫-22x2-4dx=F2-F-2 Fx=∫x2-4dx=x2+12+1-4x+C=x33-4x+C

Q: Evaluate the integral using any appropriate algebraic method or trigonometric identity. 4 dx sec x-…

A: Given integration

Q: -In 3 x'e-*dx

A: ∫x2 e-x dx=x2·∫e-x dx-∫dx2dx·∫e-x dx dx=x2·e-x-1-∫2x·e-x-1 dx=-x2 e-x+2∫x e-x dx=-x2 e-x+2x·∫e-x…

Q: Evaluate the definite integral ग ( -मुआा) using Part 1 of the Fundamental Theorem of Calculus.…

A: We have to find integral

Q: Evaluate the definite integrals exactly using the fundamental theorem of calculus. A) ſ, x+ vx dx =…

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Q: Evaluate the integral in terms of inverse hyperbolic function x2 dx Vx² + 1

A: for a part see 2nd,3rd and 4th step. for b part

Q: Evaluate the integral.

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Q: -3 (2sinx – e*)dx 0.

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Q: Evaluate the integral using the Fundamental Theorem of Calculus, Par (Use symbolic notation and…

A: We can find the answer as below.

Q: Evaluate the integral by any method. 18 sin x cos xdx = i %3D

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Q: Evaluate the following integrals using the Fundamental Theorem of Calculus 3 16 x+x² - x4 dx

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Q: Evaluate the integral.  integral  cot  3 x  tan  x  dx

A: Given: ∫cot3xtanxdx

Q: Define the function y = In x in terms of an integral. Then use y= In x to define the real number e.…

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Q: Evaluate the integral using the Fundamental Theorem of Calculus, Part I. Use symbolic notation and…

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Q: | tan įx sec? įx dz:

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Q: Evaluate the definite integral using the Fundamental Theorem of Calculus. 64 (1 Vx)2 dx 16 2x

A: we need to evaluate ∫16641 - x22x   using fundamental theorem of calculus if F(x) be any…

Q: Evaluate the definite integral exactly, using the Fundamental Theorem. / (1² + 4x + 3)dx =

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Q: Evaluate the definite integral. Using Fundamental Theorems Calculus. sin x 4 – x² dx V1 + x2

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Q: de Use contour integration to evaluate the real definite integral 17- 8сos(®

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Q: Evaluate the integral sec 0 tan e de. Answer:

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Q: Evaluate the integral. integral 0  to pie /2     ( 1- tan x) / ( 1+ tan x)dx

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Q: 3 (2sinx - e*)dx 0.

A: Solution: The objective is to find the value of the given integral

Q: sin/i dt. 4 Vi

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Q: Calculate the integral. (Express numbers in exact form. Use symbolic notation and fractions where…

A: The given integral,            ∫11xx4+1dx

Q: Evaluate the integral using any appropriate algebraic method or trigonometric identity. 5 dx sec x-1…

A: Here we have to evaluate the given integral.

Q: Evaluate the integral. Select the correct answer. O In | csc 4x + cot 4 x | + C sin x + cos x + C S…

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Q: Evaluate the integral dx by using part 1 of the Fundemanl Theorem of Calculus, is equal to: -12

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Q: tanh x dx = (Type an exact answer.) In 20 0. xp x q In 20 Evaluate the definite integral.

A: Calculate the integral

Q: 1) Find the indefinite integral f sec4 x dx using integral 77 from the reference pages in Stewart,…

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