dr Evaluate the integral: [s1 – (72)*]"* (A) Which trig substitution is correct for this integral? 81 Oz = sec(8) 49 9 Oz = sin(8) 81 sin(0) 49 7 sec(8) 1 7 sec(8) 1 sin(0) (B) Which integral do you obtain after substituting for z and simplifying? Note: to enter 0, type the word theta. de (C) What is the value of the above integral in terms of ? (D) What is the value of the original integral in terms of z?

Q: Evaluate the definite integral. NOTE: Enter the exact answer. 11 ["||ti + 1²i||dt = |

A:

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

A:

Q: Evaluate the definite integral. NOTE: Enter the exact answer. |ti + t²j|| dt =

A: ||xi + yj || = √x^2. + y^2

Q: Evaluate the definite integral. NOTE: Enter the exact answer. ti +t²j dt

A: We have to calculate value of given integration

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A: Evaluate the indefinite integral

Q: Evaluate the integral: 21/x² 100 dx x4 (A) Which trig substitution is correct for this integral? 10…

A: The given integral is: I=∫21x2-100x4 dx

Q: 27 de x²Vx² + 100 Evaluate the integral: (A) Which trig substitution is correct for this integral? O…

A:

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Q: Evaluate the integral. 16 8 cosh (x) dx 4 16 8 cosh (/x) dx =| 4. (Type an exact answer)

A: Given

Q: Compute the definite integral. (Use symbolic notation and fractions where needed. .3 12 dx = + 13 хе…

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Q: Evaluate the integral f de using trigonometric substitution. V36-x² Note: Use C for an arbitrary…

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

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Q: Evaluate the definite integral by expressing it in terms of u and evaluating the resulting integral…

A: This question is based on definite Integral.

Q: √1² +25 -2 I dt

A:

Q: sin 40 do 9 + cos 40 Evaluate the integral ; using the substitution u = 9+ cos 40. sin 40 do 9+ cos…

A: ∫sin4θ9+cos4θ dθ

Q: Write the integral in terms of u and du. Then evaluate. sin (20 – 6) de, u = 20 – 6 (Use symbolic…

A: The given integral is ∫sin2θ-6dθ. To evaluate the value of given integral substitute u for 2θ-6.

Q: Evaluate the definite integral by expressing it in terms of u and evaluating the resulting integral…

A: Substitute u = 4x, Differentiate the above, du = 4dx dx=(du)/4

Q: Evaluate the definite integral. NOTE: Enter the exact answer. 10 S™ ||ti + 1²i|| dt

A:

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Q: Evaluate the definite integral two ways: First by a u-substitution in the definite integral and then…

A:

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

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. cos“ (5t)…

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Q: Evaluate the definite integral two ways: First by a u-substitution in the definite integral and then…

A:

Q: Evaluate the following integral using the Fundamental Theorem of Calculus. J, (sin (2x) + cos (2x))…

A: Given that: ∫0π8[sin(2x)+cos(2x)]dx

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A:

Q: Evaluate the indefinite integral. sec2 (0)es tan (9) de (Express numbers in exact form. Use symbolic…

A: Given: I=∫sec2θe5tanθdθ    .....(1) Let, u=tanθ Now differentiate on both sides with respect to θ.…

Q: Evaluate the definite integral two ways: First by a w-substitution in th definite integral and then…

A:

Q: Evaluate the definite integral two ways: First by a u-substitution in the definite integral and then…

A: Solution:-

Q: Why is the integral here not pi/48? Is there something wrong with my process before evaluation of…

A:

Q: Evaluate the definite integral. NOTE: Enter the exact answer. |ti + t²j||dt

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Evaluate the definite integral. NOTE: Enter the exact answer. •3 ti + ti dt

A:

Q: 26/x² – 64 - Evaluate the integral: x4 (A) Which trig substitution is correct for this integral? x =…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. | cos (5t)…

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Q: Evaluate the definite integral two ways: First by a u-substitution in the definite integral and then…

A: The value of the given definite integral is ln(12/7)

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. sin (4) dx +C

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Q: 24x2 Evaluate the integral: dx 100 x2 -- (A) Which trig substitution is correct for this integral?…

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Q: Find improper integral: x ·e-²dx. Preview will appear here. Enter math expression here

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Q: x = 9 tan 0 is an appropriate trigonometric substitution for the integral Select one: O True O False…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 10 S™ || ti + ²i|dt = 0

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Q: Evaluate the integral: 1 (29Vx2 – 81 -dr (A) Which trig substitution is correct for this integral?…

A:

Q: Evaluate the indefinite integral. sec2 e6 tan (Ø) d0 (Express numbers in exact form. Use symbolic…

A: We use substitution method to solve this integral.

Q: sin/i dt. 4 Vi

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Q: evaluate the indefinite integral.

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer.…

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Q: 5. Which integral requires more work to evaluate? sin“ x cos“ x dx 798 sın x cos x dx or Explain…

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Q: (2))? dz: Consider the indefinite integral a) This can be transformed into a basic integral by…

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Q: (23/x2 Evaluate the integral: -dr (A) Which trig substitution is correct for this integral? Or = 3…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. J tan6(9x)…

A: The objective of the question is evaluate the indefinite integral with substitution method.

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.