Q: the correct steps to evaluate cos²20 dº is 0 One of Ⓒ[-[²04 A de sin²20d0 0 0 [1²4] B de- cos 40d0…
A: We use double angle formula cos(2x) =2cos2(x)-1 cos2(x) =(1+cos(2x))/2
Q: ‹S- A S Ⓡ /- © /- S- D For dx and using the substitution = x1/2, the resulting integral takes the…
A: Just use the substitution and find the required integral. Option (B) is correct.
Q: S √(x-m+ 3. Consider 3x5 3x4+6x3-3x² - 6x A B C + + x-1 x+1 x+m -dx. Using the method of partial…
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Q: Find the are bounded by the trigonometric curves y=sinx and y=cosx from x = pi/4 to x = 5pi/4
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Q: sin (In. sin (Inx) dx. Integration by parts will be used repeatedly. What is the expression after…
A: We need to integrate the given function with integration by parts. We will do it twice
Q: 3x5 Evaluate S 3x4+6x33x2 - 6x O x2−2x +In 2 x²-2x-In O x² - 4x 2 O x² - 4x 2 -dx, using method of…
A: Integration
Q: QUESTION 16 y dy Find of- using the substitution +5= √√y+2 √y+2 ² (√√y+2-5) (-5√/y+2+y+21) + C…
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Q: dx The integral S- can be transformed to which of the following when trigonometric substitution is…
A:
Q: X-1 (x - 2)² 5. S dx
A: We have to evaluate the integral.
Q: dx can be transformed to which of the following when trigonometric substitution is used? (x²+4)² A +…
A: Since you have asked multiple questions , we will solve first question for you. If you want any…
Q: 2. f(x²+2x-3)(x+1)dx
A: We can find the integration as below.
Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2 = 2y, the…
A:
Q: Using chain rule, what is the (2x-¹-3x)³ ? da O 24+108x²+54xª+81x6 x4 -24+36x²+54x4 -81x6 x4 O…
A: The objective of the question is find the derivative .
Q: S₁ 2 63 Evaluate: A 16 B 105 C) None 16″ D 105 2π E 63 sinxcos³xdx is equal to
A: We can find the integration as below
Q: luate sin (Inx) dx Integration by parts will be used repeatedly. What is the ression after the…
A:
Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…
A:
Q: 6 "Cosx dx. Sinx+25inx+5
A: Integration by Trigonometric substitution:
Q: Find 36 zdV, where E is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,6,0), and (0,0,2) E
A:
Q: The integral O 01 °: June 8 ° sec³ 4 can be transformed to which of the following when trigonometric…
A: Answer is (A)
Q: QUESTION 19 A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are…
A: Solution of the problem as follows
Q: x1/2 dx and using the substitution u=x1/2, the resulting integral takes the form: U -du ·S (A S- ® /…
A:
Q: y dy Find S- y+2 A ²/(√x+2-5)(-5√/y+2+y+21)+C ℗ ²/(√3+2-5) (5√/y+2-y+24) + C B Ⓒ(√x+2-5)…
A: I am going to solve the problem by using some simple calculus to get the required result of the…
Q: ·S- Find y dy Vy+2 using the substitutionu +5=√√y+2. A √y + 2 − 5 ) ( 5 √√y + 2 + y +24) + C (В…
A:
Q: ·S= 3x5 3x4+6x33x2 - 6x + In Evaluate O x² - 4x 2 O x² - 4x 2 O x2−2x 2 x²-2x-In + In -dx using…
A:
Q: Exercises To Solve [No.5] 6 "Cosx dx. Sin x+25inx+5
A: See the details solution in below
Q: Moving to another question will save this response. 3x5 ·S. 3x4+6r3-3x2 - 6x 0 5 06 O 17/6 A Moving…
A:
Q: Suppose m and n are constants and mn. Evaluate sin(mx) cos(nx) dx. 1 A cos(m− n)x - cos(m+n)x] + C…
A: The objective is to find the correct option.
Q: y dy √y+2 15. Find /y using the substitution u +5=√√y+2.
A:
Q: x dx can be transformed to which of the following using trigonometric substitution? x²-1-1 x² + cose…
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Q: find the value of k that will make the function continuous. f(x)= { 2 ,if x <-4 { -x…
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Q: b The volume of the solid generated by revolving the region bounded by x2-4y and y2-4x about y=4 is…
A:
Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4 is to…
A: Washer Method
Q: What is the value of f(1) - 16B in [x³ Inx dx = f(x) ( (1/4) Inx - B) + C? A 3 B 2 C) 1 D) 0
A: To solve the given integral problem.
Q: Question 2 S y dy Find √x+2 A ² (√x+2-5) (5√/y+2+y+24) + C 3 ℗ ²² (√5+2-5) (5√/y+2+y+21) + C B…
A: GIVEN
Q: fsinx cos/x Зл А 256 3 (В 512 (C) None Зл (D) 512 3 E) 256 -dx is equal to
A:
Q: R 5″ Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=- to x=- 4 4 (A…
A: Here we have to find the area bounded by the given trigonometric curves.
Q: By method of Integration by Partial Fractions, A *(x³ + 5x²+6) dx (x²–2x+5)² = √[₁²-²2x+5 (A) True B…
A: We can answer the question.as below
Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…
A: I am going to solve the problem by using some simple calculus to get the required result of the…
Q: Exercises To Solve 3-2x-x²
A:
Q: dx 3-2x-x²
A: We need to solve : ∫-10dx3-2x-x2
Q: Consider ∫ x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)?
A:
Q: What is the solution to the following initial value problem? dy + 4x = 3 y(0) = 1 da Oy=-2x² + 3x -…
A:
Q: ·S. The integral of sect S S x dx x²+√√√x². sece tane de sece - 1 sec²0 do 1+tano cose de 1-sine…
A: Given Problem:-
Q: Find y dy ·S- using the substitution +5= √√y+2 U /y+2 /y+2−5) (5√√y+2+y+24) + C…
A:
Q: For x 1/2 -dx and using the substitution u=x 1/2, the resulting integral takes the form: x-x 4u -du…
A: We can rewrite the given integral by using this substitution u = x1/2
Q: Consider S[x-m+ A) 5 B) 14/3 C) 6 D) 17/6 ·S= 3x5 3x4+6x33x² - 6x A B C + + x-1 x + 1 x+m -dx. Using…
A:
Q: C) 8 square units
A:
Q: The integral O x dx can be transformed to which of the following using trigonometric substitution?…
A:
Q: 4. What is the value of f(1) - 16B in § x³ Inx dx = f(x) ( (1/4) Inx - B ) + C? A. 0 B. 1 C. 2 D. 3
A: We know that integration of xn is xn+1/n+1. Here i attached the solution of this question.
Q: 2. Given u = 8i - j + 3k and v = 7j - 4k, compute each of the following. (a) -3v (b) 12u + v (c) ||…
A: In this question, we have given two vectors u and v. We want to compute the given expression.
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