Use partial fractions to find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) x - x + 3 dx x² + x - 2

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A: Since this is a multiple question, according to the Bartleby answering rule, only first question is ...

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A: To evaluate the integral.

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A: We need to find area bounded by two curves.

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Q: Consider the following equations. y  =  −x2 + 2x + 1 y  =  −x + 1 Sketch the region bounded by the g...

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Q: (2³ – 2) (2a² – x²)² dæ

A: We have to find value of given indefinite Integration.

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Q: 2x +7, a 7 conclusion. (i) f(7)= 14 (ii) lim f(x)= 21 (iii) lim f(x)-21 (iv) Justification Answer=

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A: solution

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A: Given db/dt= 2500 e^(2t/5)

Q: sản7y dy - Blank 1 Evaluate the Definite Integral Blank 1 Add your answer

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Q: " cos Inx dx Evaluate the Integral A - sin Inx + C B sin Inx + C cos Inx + C sin Inx D - + C

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A: Our Aim is to evaluate the integral given below:-∫0a∫0bxady dx -(i)

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A: To solve the following problem

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A: We can find the area as follows:

Q: Find the most general antiderivative. A B D

A: Let's find. 

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Q: Provide an appropriate response. Is 4x(4x+ 1)3 dx <2(4x+1)4+C? A) No Yes B.

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A: Given:      f(x) = (2x + 4)/(5x + 2) 

Q: rectangle. y = 2/x, y = 4/x², x = 6 y y 35 30 25 -1 20 -2 15 -3 10 5 1 2 4 6 -5- y 5- 2 4 4 -2 3 -4 ...

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A: Given v=(5, 7) We have to find direction of vector

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Q: Evaluate thne integr sec3xdx A 3ln sec3x+ tan3x +C In sec3x + tan3x +C C =In sec3x- tan3x + C In sec...

A: Solve the integration

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A: To solve the initial value problem.

Q: dy using implicit differentiation. dx 3. Find sec (xy?) = (cosh )(tanh a+/Ð) + 2 csc-' (tan(y + 1))

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Q: Use the Root Test to determine if the series (-1)"2* en² (2n² – 1)" n=1 converges or diverges.

A: By using the Root Test to determine whether the given series converges or diverges.∑n=1∞-1n21nen22n2...

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Q: Growth of a Cancerous Tumor The volume of a spherical cancerous tumor is given by the function V(r) ...

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Q: Evaluate: sin® (÷ cos? 2. (() dx

A: We we will find the value of the integral.