dx 57. x² – 36

Q: Evaluate J by means of trapezoidal rule using n = 10 and n = 20: 1 1 = [ exp(-x²)dx Note that this…

A:

Q: Find or evaluate the integral by completing the square. (Round your answer to three decimal places.)…

A: Given problem:-

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x³ (3x4 + 2)³…

A: We need to integrate ∫x33x4+23dxSubstitute 3x4+2=tDifferentiate w.r.t t12x3dx=dtNow∫112t3dt ---{1}

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 6. - dx (2 —…

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Q: dx x/x² – 9 J3 .2

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x²e-9r³ dx +C

A: ∫x3e-x3dx

Q: Evaluate the integral 31 by making the substitution u = x° – 4. + C NOTE: Your answer should be in…

A: Given,  ∫ x4x5-431dx

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 9e" + 8e-X dx…

A:

Q: Evaluate J by means of trapezoidal rule using n = 10 and n = 20: 1 J = exp(-x²)dx 0 Note that this…

A: The trapezoidal rule uses the formula:∫abydx=h2(y0+2(y1+y2+y3+...+yn-1)+yn)  to approximate the…

Q: Evaluate the integral a* (a* – 4)"da - by making the substitution u = x* – 4. + C NOTE: Your answer…

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Q: 2x dx ,(x2 +1)2 - 00

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Q: Evaluate the integral. -2x 11 x² d.x + C NOTE: Enter the exact answer.

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx (7x4 + 6)…

A: Given: ∫x37x4+63dxSubstitute  u=7x4+6       Then dudx=28x3…

Q: Evaluate the integral. NOTE: Enter the exact answer. 1 + 26/x| dx 6x3 +C

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Q: evaluate the integral. Use C for the arbitrary constant. Absorb into C as much as possible…

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Q: Evaluate the integral |x'(x* – 7)6 dx, by making the substitution u = x* – 7. +C Note: Your answer…

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A: Here we evaluate the integral∫x2+16x dx

Q: Hi, I was wondering how to do this and what the work would look like. thank you!

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Q: Evaluate the integrals using substitution. (Use symbolic notation and fractions where needed. Use C…

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Q: Evaluate the integral for x > 1/2: x2 64x2 – 16 dx = (No Response)

A: Then let us assume

Q: Evaluate the given integral using the substitution (or method) dx; u = . 7e +C Show My Work…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 8 dx +C –…

A:

Q: In Exercises , use a substitution to change the integral into one you can find in the table. Then…

A: 27. Given integral is, ∫x3+x+1x2+12dx.   It is integrated as follows:

Q: Find or evaluate the integral by completing the square. (Round your answer to three decimal places.)…

A: The explanation of answer as follows

Q: Jse the symmetry of the function to simplify/evaluate the integral, 3. (2+ |x|5) dx. -3

A: Please refer to the image below.

Q: Evaluate the integral. f32 d= -2 dx +C %3D NOTE: Enter the exact answer.

A: Let's find.

Q: Evaluate the integral of the equation using Romberg's Method h = 0.5. h/2=0.25 h/4 = 0.125 h/8 =…

A: We have to evaluate the integral of the equation using Romberg`s Method.   ∫12(3x+2x)2 h = 0.5

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. J (10a4 + 9)"…

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx = (9x + 8)…

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx 4 +C (2 –…

A: Substitute the denominator and simplify then integrate.

Q: Evaluate the integral by any method. Enter the exact answer. y2 dy = V9 – 8y

A: The integral is ∫01y29-8ydy Use substitutions to solve the integral. Calculate the exact answer.

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. (4x – 3)º dx…

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 4 dx = +C (1…

A: Given:         ∫41-2x6dx     =4∫11-2x6dx substitute u=1-2x→dudx=-2             dx=-12du…

Q: I Evaluate the following integrals. Simplify results. 3dz 4-5z

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Q: Find or evaluate the integral by completing the square. (Round your answer to three decimal places.)…

A: We have to evaluate the integral by completing square.…

Q: Evaluate the integral. 19 dx x²/x² NOTE: Enter the exact, fully simplified answer.

A: Let I = ∫2219 dxx2x2-1

Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ t dt/t4 - t2 - 2

A: Let's obtain the partial fractions:

Q: Evaluate the integral. 19 dx x²Væ² – I NOTE: Enter the exact., fully simplified answer.

A: To evaluate:∫2219x2x2-1dx

Q: Evaluate the integral 27 | by making the substitution u = x – 7. + C NOTE: Your answer should be in…

A:

Q: Evaluate the integral 17 a* (x* – 3)"dæ by making the substitution u = x* – 3. +C NOTE: Your answer…

A:

Q: Evaluate the integralS, V1 – x² dx. Note: Retain T and any fractions in your answer if applicable.

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Q: 2. 6 t) Evaluate the integral (3+ v25 - r2 ) dr in terms of area. Draw a picture to represent the…

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Q: Determine the integral by making an appropriate substitution. Sx-17 dx O 1 X). (x- O_ 1 + C 16(x -…

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Q: Make the u-substitution u = 3x2, and then use the Endpaper Integral Table to evaluate the given…

A: We can solve this by using given information

Q: Make an appropriate u-substitution, and then use the Integral Table to evaluate the integral. (b) If…

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Q: Evaluate the integral by any method. NOTE: Enter the eaact answer. dc = 3+ 24

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Q: Evaluate the integral F(= - 0)"dz, (x³ by making the appropriate substitution: u = P(* - 0)"de -…

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: Evaluate the integral using an appropriate substitution NOTE: Enter the exact answer. 9e" + 8e- dx =…

A: We will solve the problem

Q: Evaluate the integral. NOTE: Enter the exact answer. 1 + 11/x| dx 13x3 J+C

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x3 (3x²+2)³ J…

A: Given: I=∫x33x4+23dx     ...1   As we know that; The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.