Q: Find the area bounded by the curve y=-x³ 1 - 16 A 8 square units B 16 square units 10 square units 4…
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A: I am going to solve the problem by using some simple calculus to get the required result of the…
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A: We know that integration of cosx is sinx +c. And integration of sinx is -cosx+c. Here i attached the…
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A: Solution of the problem as follows
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Q: dx 2. The integral S can be transformed to which of the following when trigonometric (x²+4)²…
A: Please see the answer below
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Q: dx ·S can be transformed to which of the following when trigonometric substitution is used? (x²+4)²…
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A: We have to solve integration
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A: We have to solve above integral
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A: Solved below.
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A: Here is the solution
Q: What is the value of f(1) - 16B in I x³ Inx dx = f(x) ( (1/4) Inx - B) + C? 2 0
A: Given; ∫x3lnxdx=fx14lnx-B+C ...(1) First, we have to find the integral value. I=∫x3lnxdx Apply…
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Q: 6 Ⓒh'(x) = 7(7x³+4x) (21x² + 4)
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A: Let's evaluate given integral.
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A: To explain : The inflection point of a function.
Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)2=2y, the…
A: Please see the below picture for detailed solution.
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Q: 3x5 Evaluate 3x4+6x3-3x2 - 6x ^ x² = 4x + 1 [ (x-1) 1/6 (x + 2) 16/3] + A In +C 2 1/2 16/3 B -2x-In…
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Q: What is the value of f(1) - 16B in √ x³ Inx dx = f(x) ( (1/4) Inx - B) + C? О о O 3 02 01
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Q: To evaluate x²cosx dx' x2sinx – 2x cosx+2 x2sinx – 2x cost – 2 x2sinx+2x cost – 2 x2sinx+2x cosx – 2…
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Q: Evaluate tan" (x) sec4x dx. 1 1 (A) =tan(+3)(x) + _____tan ( + 1)(x) + C m+3 m+1 1 B) (m+3 -tan…
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Q: The volume of the solid generated by revolving the region bounded by x²= 4y and y2=4x about y=4 is…
A: Follow the procedure given below.
Q: S= Evaluate Ox² - 4x 2 Ox²–2x 2 O x² - 2x - In x² - 4x 2 3x5 3x4+6x + In 3x² - 6x - (x-1) 1/6(x+2)…
A: Explained below
Q: dx can be transformed to which of the following when trigonometric substitution is used? (x²+4)² esc…
A: Given Integral is ∫dx(x2+4)2Let's substitute x=2tanθDifferentiate with respect to x⇒dx=2sec2θ…
Q: Question 9 The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x…
A: Solution is here
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A: We can solve the integration as below.
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Q: Question 14 Find the area bounded by the curve y = - -x 16 A 10 square units B) 4 square units C 8…
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Q: -S- A Ⓡ / T B C S (D) S- For x1/2 dx and using the substitution u=x¹ x1/2, the resulting integral…
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Q: (в Suppose m and n are constants and m #n. Evaluate 1 (A) √ [n² m² -cos(m− n)x-- -cos(m+n)x] + C m+n…
A: To solve the given integral.
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Q: 12. Evaluatesin (Inx) dx. Integration by parts will be used repeatedly. What is the expression after…
A: I am going to solve the problem by using some simple calculus to get the required result of the…
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A: Simplify and substitute x = sec θ to get the answer.
Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…
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Q: x dx x² + √√x². The integral - sine de SSH 1 + cose sece tane de sece - 1 sec²0 do 1+tano cose do…
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Q: QUESTION 16 The volume of the solid generated by revolving the region bounded by x²=4y and y2-4x…
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Q: Using Newton's method with an initial approximation of x₁ = 2, what is the second approximation x₂…
A: As we know the integration formula for the Newton's method. xi+1=xi-fxif'xi where i=0,1,2,3.....…
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: Find the area bounded by the curve 4 square units O 16 square units O 8 square units 10 square units…
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Q: The integral S³ S S Sse x dx x²+√√x²-1-1 sece tane de sece - 1 cose d 1 - sino sine de 1 + cose…
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Q: Find S- y dy using the substitution u +5=√y+2. y+2 (A) (√3+2-5) (5√/F+2-1+24) +C 3 B…
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Q: Evaluate tan" (x) sec¹x dx² A −tan (m+2)(x) + — tan” (x) + C m+2 1 −tan (m+3)(x) +_¹__tan (m+1)(x) +…
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Q: What is the value of f(1) - 16B in 1 x³ Inx dx = f(x) ( (1/4) Inx - B) + C? 0 2
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