Evaluate each integral. Ssin (3x)dx 4

Q: S"In x)2 dx

A:

Q: Evaluate the integral.

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Q: Evaluate each integral. dx а) 5x – 4 b) [(2-VF)dx

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Q: 2 1. f(x) dx

A: We are solving the first question and for the next question post the question again and alsomention…

Q: Evaluate each integral. •23 a) -2 36 dx V16–x² .2 b) | dx 3 4+x

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Q: Evaluate each integral bY first making an a substitution. appropriate Sx(x²-1)" dx ल मैंढ a)

A: .

Q: Evaluate the integral.

A:

Q: 12) Find each integral by substitution xe

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Q: 2) Find each integral by substitution a) [5x*(x' +7)'dx b) [x'e' dx

A: a) ∫5x4x5+73dx......(1) Put x5+7=t Differentiate the above function ddxx5+7=dxt5x4dx=dt Substitute…

Q: Evaluate the integral.   ∫  (4x7 − x−7 + 1)dx   =____________________+ C

A: Useful formula: ∫ xn dx = x(n+1)/(n+1)    +     C

Q: 4х + 10 7. (г — 2) (ӕ — 1)? dx -

A:

Q: Express each integral as a single integral.

A: Given: ∫29f(x)dx-∫49f(x)dx

Q: no point. dx 1. S x²+ 6x + 3

A:

Q: | Vx+ + x6 dx

A: Given: The integral expression as ∫x4+x6dx, To evaluate: The value of given integral.

Q: 3. (In x) –dx dx k) xVln x evi xp-

A: We know that integration of xn   =  xn+1/n+1. And we know that derivatives of d(lnx)/dx =   1/x.…

Q: Evaluate the integral. e l/x5 xp

A: use substitution method foor solving such integral.

Q: ind each integral by substitution. 1 a) S 3-2x p) S 5x*(x5 + 2)10dx

A: To integrate:  a)∫13-2xdx ∫13-2xdx Substituting,(3-2x)=t⇒dtdx=ddx(3-2x)⇒dtdx=-2…

Q: 4 dx

A: We have to find the integral

Q: Evaluate the integral. (7xe + 4ex) dx

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Q: Evaluate the integral S,"12x – 6|dx

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Q: 2 dx

A: We have to find the integral of the given constant.

Q: Evaluate the integral. ,7 6 dx 12)

A: Evaluate the integral.     ∫576dx

Q: Evaluate the integral. (x17 + 17*)dx

A:

Q: Find each integral by substitution J6x(3x +1)'dx

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Q: 1 dx 1+4x2

A:

Q: dr V9+ 8a-a2

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 11) Find each integral by substitution a) Jóx(3x' +1)'dx 10x+1 b) ] (5x +x+8)

A: (a)∫6x3x2+18dx Let 3x2+1=u The derivative of the above equation. 6x+0=dudx6xdx=du Substitute the…

Q: 9- x6 dx

A: Given: ∫x6 dx Formula used: Power rule for integration ∫xn dx=xn+1n+1+c

Q: Evaluate the integral. (2xe + 5ex) dx

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Q: (x² – x + 2) dx

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Q: Evaluate each integral by interpreting it in terms of areas. '10 (a) f(x) dx 25 (b) f(x) dx 35 (c)…

A: Topic = Integration As per guidelines , At a time only three sub-parts of a question can be…

Q: 1 | x(x² + 2)³dx

A: Given, ∫01xx2+23dx  We have to evaluate integral using u-substitution.

Q: Evaluate each integral by interpreting it in terms of areas. 10 (x) dx 30 (ь) g(x) dx 35 (c) g(x) dx

A: Given, The graph of function y = g(x) ∫abg(x)dx = area between  the curve g(x) and x axis between…

Q: Find each indefinitite integral  a)∫e^x dx b) ∫ 1/x dxx

A: (a) We know that derivative of e^x is e^x. That is ddxex=ex Therefore, ∫exdx=∫ddxexdx=ex+c

Q: Evaluate the integral 3 3 +6x-2 da dx

A: Given integral is ∫x3-3x2+6x-2x3-2x2+xdx

Q: Evaluate the following integrals dx 9+16x

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Q: (xe* dx

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Q: find the integral ∫1/xlnx dx

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Q: Evaluate the integral.

A: To evaluate: ∫dxx2-4x Given integral can be re-written as: ∫dxx2-4x=∫1x2-4x+4-4dx=∫1x-22-22dx We…

Q: ate each of the following integrals. 1. J xVx + 1dx

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Evaluate the following integrals.

A:

Q: Evaluate each of the following integrals бх + 1 dx x² + 4 1.

A: Solution is given below in the image..

Q: 4. Find the integral in each part a) / (a* + VI)dr

A: The solution of given problem is followed by

Q: dx (x² + 1)4

A: Solve the intergral in

Q: Evaluate the integral. 9x 26e" +C dx

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Q: x1/4 dx

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Q: Find the integral of each of the following: (a) S(-6x³ +9x² + 4x − 3) dx (b) f(12x²9x) dx

A:

Q: 25 10x + 21 dæ i. dx j. x - 5

A: (i) I=∫25-x2x2dx Take x=5cosθdx=-5sinθdθ Substituting the values,…

Q: 3) Find each integral by substitution 2x+1

A: Given, ∫12x+1dx  we have to solve given integral by subsititution method

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.