Evaluate the indefinite integral: J 12x2 –16x dx 2x³ – 4x² +7 Note: Maintain root symbols if applicable.

Q: Evaluate the indefinite integral. x + 1 da x² + 2x + 2 + C

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Q: Consider the indefinite integral a Vx² +1 da: This can be transformed into a basic integral by…

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Q: 4x V1- x³ dx

A: We will evaluate the given integral.

Q: Use the substitution u =x +7 to evaluate the indefinite integral below. 5 + Write the integrand in…

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Q: 1 dx 14x3 + C.

A: We have to find the integration

Q: Evaluate the indefinite integral. V 16 +x² dx %3D to

A: We need to integrate ∫16+x2x4dx

Q: Find the indefinite integral and check the results by differentiation (4x² + 3)²dx 10NI 1SU F10 F11…

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Q: da Vx2 +1 Evaluate the integral

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Q: Use the substitution u= x² + 6 to find the following indefinite integral. Check your answer by…

A: Given, ∫2xx2+66dx and u=x2+6 ⇒du=2xdx Following formula is used- ∫xndx=xn+1n+1 ddxxn=nxn-1ddxa=0

Q: Use the substitution æ = 6 tan(0) to evaluate the indefinite integral 23dx x2 Va2 + 36

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Q: Evaluate the integral using trig substitution: ∫√(x2+2x) dx

A: The integration to be performed is I=∫x2+2xdx. Substitution method will be used to solve the…

Q: Evaluate the indefinite integral by using the substitution u = 6-x* to reduce the integral to…

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Q: 1. Jổ xdx xdx ull ch 2. √²2² (x²-x)dx 3. f2, xdx

A: We have to solve as per guidelines Solving by fundamental theorem of calculus

Q: Use the substitution x 5 sec t to evaluate the integral dr x/x²–25

A: We have to evaluate the integral ∫dxxx2-25 by substitution x=5sect.

Q: Evaluate the indefinite integral by using the substitution u=x*+x to reduce the integral to standard…

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Q: Use substitution to find each indefinite integral. a. 4(2r +3) dr

A: Given: I=∫42x+34dx for evaluating given integral, we substitute 2x+3=t…

Q: Evaluate the integral. 0.75 x2 dx 9 – 16x2

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Q: Use substitution to evaluate the integral in terms of f (x):                                  ∫…

A: ∫f'-x+7 dx

Q: L 2x²³ + 8x doc 3 √x² + 4

A: This question can be solved using the concept of integration by substitution.

Q: Evaluate the Integral using the following values. [°x³ dx = 260, [°x dx = 10, [°dx = 2 [°(22-7x-x²)…

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Q: Evaluate the integral. Show all your work. -1 tan (5x)dx

A: This question is based on integral by parts.

Q: XV3x2 – 2 dx 1

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Q: Evaluate the indefinite integral: (2a – 9a? +5) dx = %3D

A: Given,            ∫2x3-9x2+5dx

Q: Use an appropriate trigonometric substitution to evaluate the integral below. x2 dx 9 – x2

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Q: Evaluate the integral. 49 9Vx dx J25

A: Given: I=∫25499xdx we know that ∫xndx=xn+1n+1+c

Q: Find the integral by algebraic substitution: ∫dx/√1+4x

A: In some cases integrals can be simplified to standard integrals by using an appropriate…

Q: Use substitution to find the indefinite integral. 6x+7 (3x +7x) to

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Q: Evaluate the indefinite integral by using the given substitution to reduce the integral to standard…

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Q: 2x (x+2)-5 dx z

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Q: Evaluate the integral and check your answer by differentiating. ∫ (1+x2) (2-x) dx

A: ∫(1+x2)(2-x) dx=∫2-x+2x2-x3dx                                =2x-x22+2x33-x44+C

Q: Evaluate the definite integral.

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Q: Find the indefinite integral by using the substitution x = 2 tan(0). (Use C for the constant of…

A: Given ∫2x24+x22dx and x=2tanθ

Q: Evaluate the indefinite integral by using the substitution u = 5-x' to reduce the integral to…

A: Given the integral

Q: dx 322-2х + 5

A: Consider the indefinite integral ∫dx3x2-2x+5 To evaluate the indefinite integral, first complete the…

Q: Evaluate the indefinite integral given below using the indicated substitution. -10x (-5x² - 10)¹ dx…

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Q: Evaluate the integral. 9. x² + 81 dx Jo

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Q: Find the indefinite integral ∫csc2 3t / cot 3t dt

A: Given: I=∫cosec23tcot3tdt for evaluating given integral, we substitute cot3t=x…

Q: Use the substitution u = x + 8 to evaluate the indefinite integral below. dx Write the integrand in…

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Q: a+bx² √3ax+bx³ dx

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

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. (18x – 17)°…

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Q: Evaluate the definite integral. Sf xVx – I dx

A: Use the substitution

Q: Evaluate the indefinite integral, show all work. 2x+4 J 22 dx

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Q: Evaluate the indefinite integral. 8x7 dx (28 + 1)² + C

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. (9x – 8)° dx…

A: We need to evaluate: I=∫9x-89dx by using appropriate substitution. This can be evaluated as follows:…

Q: ここXP x(メャッ)。

A: put x^2+7=u so that 2x dx=du .and solve the question in 2nd step.

Q: Evaluate the indefinite integral by using the given substitution to reduce the integral to standard…

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Q: Use the substitution u= 7x +4x to evaluate the indefinite integral below.

A: We have to change the variable from x to u by the substitution u = 7x2 +4x.

Q: Use the substitution u = 7x +x to evaluate the indefinite integral below. dx Write the integrand in…

A: ∫(14x+1)7x2+xdx

Q: Evaluate the indefinite integral by using the substitution u= x2 +11 to reduce the integral to…

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Q: Evaluate the definite integral. Use "u" substitution when appropriate only! 5. (3x - x2

A: Integral Question

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.