Find the indefinite integral as indicated. J+7° +7) dx 7x dx%3D dx

Q: What is the value of the definite integral 4x – 3 -dæ? dx? 1² – I 2

A:

Q: Evaluate the following integrals. Show the solution. 1. S csc? (7x + 5) dx 2. fx? sec (4x³ + 9) dx…

A:

Q: Consider the following integrals 4 sin? x -dx x2 + 6 00 e9t dt i. e9t – 1" Mark the correct one for…

A: Step:-1 Since, we know cos2x = 1- 2 sin2x⇒2 sin2x = 1 - cos2x An integral is called convergent if…

Q: Answer the following integral related questions. -3 I = L,(3x² – 2x + 1) dx, evaluate I;

A: We know that ∫xndx=xn+1n+1+C, where C is the integration constant. We need to use this formula to…

Q: Evaluate the integral. dx :+ C J 22 Va2 – 36 x² /x? - NOTE: Enter the fully simplified answer with…

A:

Q: n/2 L, Sy sin x)dx dy

A: Consider the provided integral, ∫-12∫0π2ysinxdxdy Evaluate the iterated integral.…

Q: Using the trigonometric substitution, the integral dx I = (x² – 100) Vx2 – 100 is equal to the…

A:

Q: use the indicated substitution to evaluate the integral.

A:

Q: Evaluate the integral: 1 A 6 B С 3 D HIM P 16 sin(3x)cos(3x) dx

A: Solve by integration

Q: Suggest a trigonometric substitution for each integral, and then write the new integral that results…

A:

Q: et Evaluate the integral , -dx 3+ ez using the substitution u = 3+e². e* dx 3+ e* +C

A: Given that: ∫ex3+exdx

Q: Which of the following integrals are improper? Why?  integral 0 to 1  tan x dx

A:

Q: 2) Use the appropriate trigonometric substitution to transform the integral into an integral in the…

A: “Since you have asked multiple question, we will solve one question for you. If you want any…

Q: Find the integral | e2 sin(3r) dæ +C

A:

Q: Consider the following integrals 00 4 sin? x i. dx x² + 6 e9t dt ii. e9t – 1 Mark the correct one…

A: Given: i.∫1∞4 sin2xx2+6dx ii.∫01e9t dte9t-1

Q: Consider the following integral. dx x2 – 1 After substitution, the above integral is equivalent to…

A: Consider the integral

Q: Can you help with this problem step by step?

A: Take out the 9 , because it is constant. Integration of sec^2 x is tanx

Q: Evaluate the following integral using trigonometric substitution. dx (1+256x?) dx (1+256x2) (Type an…

A: To find: The value of integral ∫dx1+256x232. Formula used: Trigonometric relation: 1+tan2t=sec2t.…

Q: Evaluate the following integrals TC 2x a) -e + sin dx V3x 0. 3. cot(-2x) csc?(-2x) dx b) 7.

A: (a) I=∫0π53x-e+sin-2x3dx =∫0π53x dx-e∫0πdx+∫0πsin-2x3 dx  ∵∫(u+v) dx=∫u dx+∫v dx…

Q: +C. What should be the value of e to make F(0) =0? cos-sino de has the form 2 2 The resulting…

A:

Q: To evaluate the integral /V4 + x² dx using a trigonometric substitution, use the (4+: substitution…

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

Q: Evaluate the integral. π/6 6 sec 2x dx T/6 | 6 sec?x dx = (Type an exact answer.)

A:

Q: Choose the most appropriate answer The definite integral: (4x + 14)dx 14)de = %3D O48 O32 60 O 51

A: Now we will find the solution  we know  ,    Integration of Xn dx = Xn+1 / (X+1)  + C   Where C is…

Q: Evaluate the integral 7x sin y dy dx. 00 The value is (Type an exact answer, using x as needed.)

A:

Q: 2л I7 ở sin(4)dp do dp 0.

A: To evaluate: ∫0π∫02π∫05p2sinϕdp dθ dϕ Evaluating the given integral, ∫0π∫02π∫05p2sinϕdp dθ…

Q: Which of the following is one of the correct/convenient steps to evaluate cot-+dx _which will yield…

A:

Q: Evaluate the integral |2x sin y dy dx. 0 0 The value is (Type an exact answer, using a as needed.)

A:

Q: 17 e- dx x=0

A:

Q: In evaluating the definite integral ff (x) dx, where f (x) = sinx, the angle should be in:

A: Given the definite integral ∫abf(x)dx where f(x)= sinx To determine : The angle part of f(x) is in…

Q: The value of the integral sin() dy dz is

A:

Q: Evaluate the indicated integrals if b is a positive real number constant. A. ftan () dx B. dx C.…

A:

Q: Evaluate the following integrals. 4 (a) (cot? 0 + csc? 0 sin 20) d0

A: definate integration

Q: 0. sin? x cos? x dx

A:

Q: To evaluate the integral dx, we substitute x = 2 sec 0. VAx-4 Select one: a. True b. None of these…

A:

Q: π.χ. Evaluate the integral 8x sin y dy dx. 00 The value is. (Type an exact answer, using as needed.)

A: The given integral,    ∫0π∫0x8x siny dy dx

Q: Evaluate the given integrals. 2. S sin?x sin 2x dx

A:

Q: sin x In(cos x) dx

A:

Q: Compute the definite integral. ? 0 6ex sin(x) dx

A:

Q: Given dx. Using a suitable trigonometric substitution, the resulting integral in terms of 0 is…

A: Given: ∫19x2+4dx Let I= ∫19x2+4dx To solve this we need to the trigonometric substitution

Q: For the given integral dx sin-cot- 2 2 what is u?

A: Take u=x/2 then integrate it

Q: Evaluate the integral. */6 6 sec?x dx R/6 S 6 sec?x dx =| (Type an exact answer.)

A:

Q: Find the following integrals: sin x (i) [sin' x cos? x dx dx sin (x+ a) (ii)

A: In this question, we need to find the following integrals.

Q: The best substitution to use for the integral sin z V1+ cos z dx

A: when we substitute, u = 1 + cosx then the value of du = - sinx dx

Q: (d) Find the following indefinite integrals. xer (i) 1+e? xp. (ii) | cos (2r) sin (2r) dx

A:

Q: Find and simplify the following integrals: S dx 11) (x-2)² 12) ſ cos(2x)e sin (2x) dx

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: sec{s)ds

A: We know, ∫abf(x) dx = ∫abf(a+b-x) dx

Q: To evaluate the integral 1 dx, we substitute (x2 + + 2x)3/2 x = sec 0- 1. Select one: a. False b.…

A: It is true.

Q: Evaluate the integral. T/6 | 9 sec'x dx 2. п/6 |9 sec?x dx = 3/3 (Type an exact answer.)

A: