Solve the following integral dx (1) S; 2+cos x

Q: Find the following integral: S cos vx +2 dx

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Q: Find the value of the following integral: cos2r dx,a>0 -1+a²° O 27 ат 2

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Q: |(x² + 2x) cos(2x) dx

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Q: Q2: Solve the following integrals: (1) 7x²+14x+15 (x²+3)(x+7) dx ; (2) sin6 x+cos6 x sin ³ x cos³ x…

A: According to our guidelines, we can answer only one question or three subparts of a question.other…

Q: 1. S cos5 x Vsin x dx

A: As per bartleby guidelines we only give first question answers

Q: Evaluate the following integrals: 1.5 cos'x dx sin³x sec*x dx tan³x 2. 3. sin?x cos?x dx 4. cos (3x)…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: sin x dx 1. V2-cos2x

A: integration

Q: Q2 (a) Calculate each of the following integrals. sin 3 0 cos'e 1 S sin x(cosx)4 dx

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Q: 8. Solve the following integral: S xe3a dx.

A: The given integral is ∫xe3xdx

Q: Evaluate the integral [e2 cos(2x)dx.

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Q: Q2: Solve the following integrals: ..... (2) ix-cos²x sin³x cos³ T dx; (3) dx (4) fxe dx

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Q: Solve the following integrals: 1. S-7e*dx 2. (2ex - 6x) dx √² (3x) dx 3.

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Q: 5. S(x + 1)(x³ + 3x + 2)®dx

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Q: Q4: Solve the following integrals:- dx 4dx (1) f 2+cos x (2) J sec xesin x (3) Sx sec? x dx dx (4) )…

A: Indefinite Integration

Q: Evaluate the integral. x2 cos(6 x) dx + C

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Q: Solve the following Definite Integral 10.) ,(x² +3)dx

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Q: Solve the following integrals. (i) cos x + cos x tan²x dx sec?x

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Q: 1 t cos 4t² dt 2

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Q: Find the indefinite integral. х COS 9nx² dx

A: Given: Let I=∫x cos9πx2 dx To Find: To evaluate the given integral.

Q: 2. Evaluate the integral. COS X dx sin? x

A: Given- ∫cosxsin2xdx To Find- The value of the integral.

Q: Find the value of following the integral: ☎ COS²T -π1+a* S². dx,a>0

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Q: ·S- The integral x dx x²+√√√x²-1-1 can be transformed to which of the following using trigonometric…

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Q: Q2: Solve the following integrals: (1) f 7x²+14x+15 (x²+3)(x+7) dx ; (2) S sin x+cos x sin³ x cos³ x…

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Q: Q2: Solve the following integrals:- (2) fd 4x2-9 xp: (3)fx sin(x +1)dx

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Q: Evaluate the integral. x2 cos(7 x) dx +C

A: The given integral is: I=∫x2 cos(7x) dx

Q: Evaluate the integral. cos(5 x) dx

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Q: Q2: Solve the following integrals: (3) √ √dx dx (4) fxe* dx

A: Note: "According to the guidelines of Bartleby we will only solve first question for you. Kindly…

Q: Solve the following improper integrals DI d √x dx

A: Given improper integral  ∫0∞1xdx

Q: Solve the following Integral Equation: r"()= cos(r)+ [x^(x}sin(t – x\k&x. (0) = y'(0)=0

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Q: Q2: Solve the following integrals: (1) f 7x²+14x+15 (x²+3)(x+7) dx ; (2) f sin x+cos x dx sin³ x…

A: We will use partial fraction to solve the first part of the question.

Q: Solve for the following integral: 1 -dx (e2x – 4)5/2

A: I=∫1(e2x-4)52  dxu=-2xdx=-12 duI=-12 ∫due-u-452v=e-u −4dv=-e-u du-dv(v+4)=duI=12∫1v52 (v+4) dv

Q: Find the integral. e4X cos 3x dx + C

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Q: Q4: Solve the following integrals:- dx (1) ſ; 4dx (2) S; (3) ſ x sec² x dx 2+cos x sec xesin x

A: Since you have posted multiple subparts question in this question so i have solved first three parts…

Q: S sin Vx dx

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Q: Evaluate the given integral. ∫ (e2x cos x -2e2x sin x)dx.

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Q: Solve the integral. cos x 7. 1+ sin? x dx

A: The given integral is: ∫cos x1+sin2xdx To solve this integral,  Consider, sinx =t   ......(1) Now,…

Q: Solve the following integral 1+x (a) S dx 1+x2 x+3 (b) S dx 2x3-8х

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Q: Q1)Evaluate the following integral: Sz cos . sin dx 2 2

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Q: Solve the following integrals: i. S(e** cos(2x)) dx using integration by parts or tabular method.…

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Q: Solve the following integral: 1 yz²e²-y²-=*dx dy dz

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Q: 1-sin x dx 1-cos x 2

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Q: Find the indefinite integral. х cos 9пх2 dx

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Q: 3 S sin (2x)dx

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Q: Evaluate the given Integral 1. ſ csc x (cos2 x - 1)dx

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Q: Solve the following integrals: S(2cos2(x)) dx using the substitution of cos(2x) = 2cos²(x) – 1.

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Q: 5. 4y°(x² + 4)- dy + 4xy = (x* + 4)² dx

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Q: Q2: Solve the following integrals: (1) 7x²+14x+15 (x²+3)(x+7) dx ; (2) sinx+cos x sin³ x cos³ x

A: Since multiple questions are asked, I am answering first question

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.