cot x In sin x 10. 71+In² sin x)°

Q: Evaluate the integral by making exactly ome u-substitution and applying any necessary formula(s)…

A:

Q: Evaluate the integral. /2 sin (0) cos (0) dO

A:

Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ sin θ dθ/cos 2θ + cos θ -…

A:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.)…

A: Given,            ∫sin2θ8-3sinθdθ

Q: 3. What are the integrals of tan x and cot x? sec x and csc x?

A: Part (a) - Let the integral be y - y = ∫tanx dx  y = ∫sinxcosxdx…

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

A:

Q: tan3 -dx sec x

A:

Q: 2 - Vx 8. I (x + 1)² dx

A: Evaluate: ∫2-xx+12dx

Q: What is the integral of (sin x)(sec2 x + cot2 x) dx? Please show step by step solving. Thank you!

A: …

Q: Evaluate the given definite integral S sin20 de (Type an exact answer.)

A: Evaluate the integral.

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. [[7…

A: Given, ∫ 7sinx- 8sec2xdx

Q: Use a computer algebra system to evaluate theintegral. Compare the answer with the result of using…

A: Given integral is

Q: Determine the sign of the integral without calculating it. Draw a graph if necessary.

A:

Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.)…

A: The given intregration,∫sin2θ3-7sinθdθ

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

A:

Q: Evaluate the integral by using either = 9 sin 6, r = 9 tan 6, or r = 9sec8.(Use C for the constant…

A: we will use substitution to evaluate the given integral we know that  sec2(x) = 1+tan2(x)⇒ sec2(x)-1…

Q: 4cos*(m) – 4cos²(m) + 1 sin²(2m) dm

A: This question is purely based on integration in which we have to simplify, firstly trigonometric…

Q: Evaluate the integral using trigonometric substitution. Draw and label the appropriate triangle and…

A: fdv ffddf

Q: 3. S v² dv (a²-√²)1³

A:

Q: sin" zweos 2wdw

A:

Q: 22. sin x sin(cos *) de

A:

Q: Evaluate the integral 7 sin° (x) cos () dx Note: Use an upper-case "C" for the constant of

A:

Q: How to solve this integral via trigonometric substitution?

A:

Q: sec°(x) -dx V cot(x) со X

A:

Q: Set up a reference triangle and use it compute the given integral using trigonometric substitution…

A: Given that, In the above integral the term has , In that term numbers stuff is negative and x stuff…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. tan (4x) sec2…

A:

Q: Evaluate the integral using the indicated trigonometric substitution. 3 5æ° V9 – a? dx, ¤ = 3 sin(0)…

A:

Q: Evaluate the integral. 9 sin- x dx + C NOTE: Enter the exact answer in expanded form.

A:

Q: n°(e*) e-(x*) sec(e**) 6x? sin 8. dx

A: The question is a bit incorrect. I have modified the question.

Q: x tan? V1 – x2 sec? V1 – x2 V1– x2

A: Consider the integral: I=∫x tan2 1-x2 sec2 1-x21-x2dx……1

Q: The definite integral /. '(tan2(x) + sec2(x) ]dx when evaluated is equal to AV3 + Br where A, B are…

A:

Q: 4 e* sin? (e*) cos³(e*) dx

A:

Q: V27 – 3x? dx

A:

Q: 2cos(a)sin(a) da 2sin(a)cos²(a)

A: Given, I=∫2cosasina2sinacos2ada we know,  2sinacosa=sin2a I=∫sin2asin2acosadaI=∫1cosadaI=∫secada…

Q: Use trigonometric substitution if possible dx 3 х? (9x2 — 4)2

A:

Q: Find the integral by first making a substitution and then integrating by parts. (Use symbolic…

A: Given integral :

Q: 2 luate / sin³ (3) cos¹ (3) dr. COS 1. Evaluate

A:

Q: Evaluate following integrals.  ∫sin2x*sin2x dx ∫pi/6pi/2 cot2x dx

A:

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

A:

Q: Use the Table of Integrals on the Reference Pages toevaluate the integral.

A: Consider the given integral ∫cot x1+2 sin xdx Or, ∫cos xsin x 1+2 sin xdx

Q: Please answer the following definite integral question using u- substitution. DO NOT solve using…

A:

Q: (1+ sin 3x)³dx sec 3x

A: Use substitution u=sin3x

Q: e3 cos 2x sin 2x dx

A: Given: ∫e3cos2xsin2xdx To determine: The value of given integral.

Q: sin Vx dx

A: Given,            ∫sin-1xdx

Q: tan 28 高) dx sec 28

A:

Q: indicate a good method for evaluating the integral (but do not evaluate). Your choices are algebraic…

A:

Q: Which integral below results when an appropriate trigonometric substitution is applied to the…

A:

Q: Which is NOT included in evaluating the integral? (Use the Trigonometric Substitution method.) dx 4…

A:

Q: sin Vw dw

A: We have to solve the integral: ∫sinw dw Solving by algebraic substitution: Assuming  t=w⇒t2=ww=t2…

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.