4. f sin3x sin2xdx =

Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2 = 4x about y=4 is…

A: Option C is correct  4-x^2/4

Q: A spherical tank of diameter 4 m is half-full of water (weight density - 9800 N/m³). Setup the…

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Q: To evaluate x²cosx dx' use integration by parts. What is the expression after the second integration…

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Q: Suppose m and n are constants and m n. Evaluate sin(mx) cos(nx) dx

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Q: If $S² A 2x²+x-2 (x+1)(x²+1) (В NIG NI- S None -dx= B(2x) +C1 14.0+. dx, then the value of B is…

A: We can answer the question for the value B as below.

Q: 16. Find the area bounded by the curve y=-x³--x²+3x and the line y=x. 16 4

A: 16)Given,y=x316-3x24+3x and y=x

Q: 6x9-x5+ (A) 2n (B) I (C) 2 (D) 0 E) None √√4-x² dx is equal to

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Q: 2. [e1/² cos 2tdt Set/2

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Q: If A B (C) E +x+ (x-1)(x+1)(x-2) 11 3 - <-2 11 3 None 3 dx = + B +dx, then the value of C is equal…

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Q: π 5π Find the area bounded by the trigonometric curves y=sinx and y=cosx from x== to x== 4 4 (A)…

A: The region bounded by the curves y=sinx and y=cosx from x=π4 to x=5π4

Q: 13. - (In t ² )º t dt

A:

Q: Consider and C. -dx Using the method of partial fractions, the given integral can be written as…

A: Here, 3x53x4+6x3-3x2-6x=x-m+Ax-1+Bx+1+Cx+mor, x4x3+2x2-x-2=x-m+Ax-1+Bx+1+Cx+mor,…

Q: Let g(x) be the function 7x² - 6x + 6 . Then the quotient to ah + b. What are the values of a and b…

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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: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

A: This question is related to definite integration, we will solve it using given information.

Q: y= (4x² + 2) (4x3³ - x)

A: Here we have to evaluate y=4x2+24x3-x

Q: A ream of 500 pieces of 8½ inch by Il inch copy paper has a volume of 280/2 inches³. What is the…

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Q: 16. S cot xdx /1 + In sin x

A:

Q: 50 [" ( ax³ + bx² + cx) dx = 2b = 25 150 x ²6 x²dx -50 0 A) True B False

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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:

Q: Evaluate S= 3x5 3x4+6x33x2 - 6x + In O x-2 2 x² - 4x 2 O x² - 4x + In 2 x²-2x-In + In -dx using…

A: Given problem:-

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: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

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Q: √x(y)²-(√x cos √x - sec √x)y'=1

A:

Q: 10. 3 J√cos z sin ³ zdz COS

A:

Q: dx 3-2x-x²

A: We need to solve : ∫-10dx3-2x-x2

Q: 3x5 ·S -dx- Using the method of partial fractions, the given integral can be written as 3x4+6x³3x² -…

A:

Q: Evaluate sin (Inx) dx. Int second integration by parts

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Q: Evaluate Ss sin (Inx) dx. Integration by parts will be used repeatedly. What is the expression after…

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Q: 2x²+x+1 S (x− 1)(x + 1)(x − 2) dx = ₁ 11 (A) 3 (B) None 11 C 3 (D) -SA+ 1 3 E -2 B + x+1 x-2 Q dx,…

A:

Q: a) For any given function y = f(x), explain, with words, how you would determine whether or not…

A: To explain : The inflection point of a function.

Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

A: Given the spherical tank with diameter 4m So the radius of the spherical tank R = 2m Weight density…

Q: y dy Find S y+2 O / (√x+2-5) (5√/y+2+y+24) + C 3 O (√y+2-5) (-5√3+2+y+21)+C 3 (√y+2-5)…

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Q: Evaluate: 2 sinxcos³xdx is equal to 0

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Q: 3. 2 [sin 4 3x cos² 3xdx

A: 3. To evaluate the ∫sin43x cos23x dxFormula: (1) cos2x=1-sin2x(2) ∫sinn xdx=-1n sinn-1x cos x+n-1n…

Q: y dy Find S y+2 O ²(√y+2−5) (5√/y+2−y+24) + C (√y+2−5) (5√/y+2+y+24) + C (√y+2-5) (5√/y+2+y+21) +C 3…

A: A detailed solution is given below.

Q: y dy Find S² using the substitution u +5=√y+2. √y+2 (A) (√3+2-5) (5√3+2+y+21) +C 3…

A:

Q: 2. f(x²+2x-3)(x+1)dx

A: We can find the integration as below.

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…

Q: -S- A Ⓡ / T B C S (D) S- For x1/2 dx and using the substitution u=x¹ x1/2, the resulting integral…

A:

Q: Which of the following statements is NOT true about the derivative of the function? The derivative…

A: The geometrical meaning of derivative is , the slope of the line segment tangent to the function…

Q: The velocity of a projectile is found using the function v(t) = 2 + 16t and is measured in feet per…

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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 to…

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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…

A:

Q: Find the area bounded by the curve 4 square units 10 square units 8 square units 16 square units 3 y…

A: Area

Q: y = 4 16 3x+3

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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…

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Q: dx The integral s can be transformed to which of the following when trigonometric substitution is…

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Q: fsinx cos/x Зл А 256 3 (В 512 (C) None Зл (D) 512 3 E) 256 -dx is equal to

A:

Q: C) 8 square units

A: