Use substitution to find the indefinite integral. 4x+7 xp- (2x? + 7x)°

Q: Use geometry to evaluate the following integral. 2x if 1sx<3 f(x)dx, where f(x) = 11 - 2x if 3<x<8

A: Given the integral and the function:

Q: Evaluate the integral x 9+x d x.

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Q: Express the integral in terms of the variable u, but do not evaluate it. So e15x-14 dx; u 15x - 14…

A: ∫01e15x-14dxLet u=15x-14.=∫-141eu115du=115·∫-141eudu=115eu-141=115e-1e14=e15-115e14

Q: 4. dr

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Q: Evaluate the indefinite and definite integral. 4x So √²+1 dx

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Q: 1 6. (3x)3 +e2 + 2x2 dx

A: Evaluate: ∫13x3-32x2+e2+x2dx

Q: Use substitution to find the indefinite integral. 6 10(1

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Q: Use the Change of Variables Formula to evaluate the definite integral.

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Q: Find or evalaute the integral by completing the square.

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Q: Use substitution to find the indefinite integral. X 1²2* S= 4x² +2 X 4x + 2

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Q: 4x V1- x³ dx

A: We will evaluate the given integral.

Q: Evaluate the integral. X5/8 5/8 dx

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Q: -21 1 (1 + 3x)2 dx

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Q: Use substitution to find the indefinite integral. dt

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Q: Evaluate the integral. -2x 50хе dx +C NOTE: Enter the exact answer.

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Q: Solve the integral( x is an exponent):

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Q: -1 tanx 4. 1+x?

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Q: Evaluate the integral below. 2 x(r – 1)15 dr

A: ∫un du = un+1n+1+C

Q: Use substitution to find the indefinite integral.

A: ∫xndx=xn+1n+1+c

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

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Q: -(-3у?-у-2)dy 2y3+y2+4y

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Q: Evaluate the integral. 6 dx x4Vx² + 27 NOTE: Enter the exact answer.

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

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Q: Evaluate the integral. 5 x es* dx = C NOTE: Enter the exact answer.

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Q: dx 1₁ (x² + 8x + 13)² press numbers in exact form. Use symbolic notation and fracti - C as much as…

A: Given ∫dxx2+8x+132

Q: 20. (1– x?)5/²dx

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Q: /(3x? + 3х — 5) dx - = + C.

A:

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.)

A: Let's look at the denominator.The denominator = 9x2 – 18x + 36 = 9x2 – 18x + 9 + 27 = (9x2 – 18x +…

Q: Use substitution to find the indefinite integral.

A: Use substitution to find the indefinite integral.                ∫e1zz2 dz

Q: 3x²-2 do 3 2x - 4x

A: Here we will solve the given integral,

Q: Complete the square and find the indefinite integral

A: Given: I=∫xdx4x-x2 for evaluating given integral we write x as 2-124-2x so,…

Q: Express the integral in terms of the variable u, but do not evaluate it 15x-14 dr: u = 15x – 14…

A: Topic = Integration

Q: Q3 - Evaluate the following integrals i. S7 xp V9-x2

A: Use substitution method

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

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Q: Use substitution to find the indefinite integral. 6x + 5 -dx (9x? + 15x) 2 S 6x + 5 xp. 3 (9x? +…

A: Given: ∫6x+59x2+15x3dx Evaluate the given integral using the substitution method. A function that…

Q: Use substitution to find the indefinite integral 5t)(8+5)d. +5t)(81 +5)dt =|

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Q: Evaluate the integral. 11 x? -2.r e dx + C NOTE: Enter the exact answer.

A: topic - indefinite integration

Q: Evaluate the integral 27 | by making the substitution u = x – 7. + C NOTE: Your answer should be in…

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Q: Find the indefinite integral. 2x (?+6) xp

A: We need to find the integral ∫2x(x2+6)5dx

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

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Q: Evaulte the integral when x &gt; 0 ln(x^2+17x+70)

A: Integrand, I = ln(x2+17x+70)x2+17x+70 can be factorised as shown below:x2+17x+70 = x2+10x + 7x+70 =…

Q: Use u-substitution to evaluate the following indefinite integrals. Giv your final answer in terms of…

A: see 2nd step

Q: Decide whether you can find each integral using the formulas and techniques you have studied so far.…

A: Given: I=∫2dxx2+4 we know that ∫dxx2+a2=logx+x2+a2+c                                      ..1

Q: EC) Determine the value of the definite integral -1 ² (4x³ + 5)³dx .

A: The given definite integral,     ∫-10x24x3+53dx

Q: Use the technique of completing the square to evaluate the following integrals. x- 6x Show your…

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Q: 1+x

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Q: x3 dxp (x²+4)7

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Q: 1 (2+ √y)

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Q: Use substitution to find the indefinite integral. p(p +4)* dp P(p +4) dp=[

A: p+4=z is the substitution.

Q: Use substitution to find the indefinite integral. P(p + 9)°dp

A: We have to find given integral.