Evaluate the integral. Enter the fully simplified answer with no fractions under the square root and without any trigonometric functions. dx ? Edit +C J x2 V36x² – 25

Q: dx Evaluate the integral / by completing the square and using x² + 4x + 20 trigonometric…

A: integration with subsitution

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 8 [+][…

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Q: Use geometry and properties of integrals to evaluate the followingdefinite integrals.

A: Complete the square: (8x-x2) = -(x2-8x+16-16) => (8x-x2) = -(x-4)2 + 16 Substitute this in…

Q: Evaluate the integral. dx :+ C J 22 Va2 – 36 x² /x? - NOTE: Enter the fully simplified answer with…

A:

Q: evaluate the integral by completing the square and using trigonometric substitution.

A: We first complete the square

Q: Vx² + 1 dx .2

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Q: Evaluate the integral f Spxy dA, where R is the triangle x + y 0, y > 0. NOTE: Enter the exact…

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Q: 1 dx J Vx² + 2x + 5

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Q: Evaluate the integral by completing the square and using trigonometric substitution.

A: ∫1x2+6x+62dx=∫1x+32-32dxSubstitute u = x+3=∫1u2-32du=∫1123u+3+112u+32-1123u-3+112u-32duApply the Sum…

Q: Evaluate the integrals by making a substitution(possibly trigonometric) and then applying a…

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Q: Evaluate the integral. 37xe dx +C NOTE: Enter the exact answer.

A: We have to find the integral

Q: Find the integrals using Trigonometric substitutions 1 (a) / Va? – x² dx (g) - 4.x2

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Q: 5 ( (x2 + 1)z dxp x8

A: I = ∫(x2+1)52x8.dxI = ?

Q: Find the integral by trigonometric substitution: ∫√1-7w^2 dw

A: The given integral is ∫ 1-7w2 dw. Substitute w=17sinx   and   dw=17cosx dx in the above integral and…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy V12y +1 +C

A: we need to evaluate the integral :

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 8 dx +C –…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 19e" dx 1+…

A: Please see the answer below.

Q: Evaluate the integral by completing the square and using trigonometric substitution. dx s √5 + x −…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 4x²e" dx = +C

A: Given:          ∫4x2ex3dx         =4∫x2ex3dx substitute u=x3→dudx=3x2                     dx=13x2du…

Q: dx Evaluate the integral/ by completing the square and using trigonometric substitution. V36x+6x2…

A: Given,  ∫dx36x+6x2  We have to evaluate the integral

Q: V9x2 + 25 1. х2

A:

Q: Evaluate the integral by completing the square and using trigonometric substitution. 4х — 45 dx…

A: Let I=∫x2-4x-45dx

Q: Vx dx 4 + 3Vx

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

A: First I have make a substitution to make integral easy and then find the required integration.

Q: J zV -1 2.

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [e³ 34x dx =…

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Q: Evaluate the integral by completing the square and applying appropriate formulas from geometry.…

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Q: evaluate the integral by completing the square and using trigonometric substitution.

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. VI0y +I dy +C

A: Given query is to eveluate the integral.

Q: Evaluate the integral using the indicated trigonometric substitution. 2x3 dx, x² + 9 I = 3 tan(0)

A:

Q: Evaluate the integral: fe* sinhxdx. Select one: O a. -+C 0b. ²+0 ++ C d+C

A: We can solve this as follows:

Q: Evaluate the integral r ((tz) e sinz dz. where C:12| =l, by amy two Methads and results. 23 compare

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 9et + 8e-* dx…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx (8x4 + 7)°…

A:

Q: Evaluate the given integral using Trigonometric Substitution 27e#dæ (6e# –9e2z +10)

A: Given integration is                                     ∫27 e4xdx6ex-9e2x+10 The formula for…

Q: Find the integral by using the integral table on the inside back cover. (Rer 25x2 +36 dx + C

A: We will use substitution

Q: x2 – 15 dx 23

A: Please rate

Q: dx Evaluate the integral / by completing the square and using trigonometric substitution x² + 4x +…

A: Solve the following integral

Q: Determine the integral solutions  fro which x and y are positive 2x + 5y = 17

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Q: Evaluate the integral using NOTE: Enter the exact answer. [ 5x²e²³ dx = appropriate substitution. +C

A: We can evaluate the given integral by using the substitution u= x3 and the following formula.

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dy V10y+1 +C

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Q: Evaluate the integral ∫dx/(sqrt(x^2+4x+13)) By completing the square and using trigonometric…

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Q: Write the integral in terms of u and du. Then evaluate. | 8xe* dx, u = x2 (Use symbolic notation and…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 12e 1 + ²x |…

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Q: Evaluate the integral. 17xe dx +C %3D ENOTE: Enter the exact answer.

A:

Q: √ √ 1 √x² - 2x + 5 dx

A: Indefinite Integration

Q: Evaluate the integrals by making a substitution(possibly trigonometric) and then applying a…

A: Given: The integral is ∫(r2-1)3/2rdr   Reduction formula: ∫tann(x)dx=tann-1(x)n-1-∫tann-2(x)dx

Q: Evaluate the integral by making the given substitution. x2(sqrt x3+22)dx…

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Q: Using a Table of Integrals with the appropriate substitution, find + 5e2 + 9e dx Vezo – 64 Answer:

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x3 (3x²+2)³ J…

A: Given: I=∫x33x4+23dx     ...1   As we know that; The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.