Evaluate the following (1) S sin3x sin2x dx

Q: sin x dx cos5x b.

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Q: 2 Evaluate sin2x dx

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Q: Find  d/dx (sin-12x)

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Q: Evaluate∫cos 6x dx without using the substitution method.

A:

Q: What is the amplitude of y = 3 sin 2 x? 1

A: Given that: y=3sin2x

Q: • y = sin¬(10x) %3D

A:

Q: 7)S sin2xcos* x dx

A:

Q: FIND DY/DX OF THE FOLLOWING 3. y-tan (1+sinx)

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Q: Evaluate S(cos4 x – sin* x)dx

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Q: Evaluate. S(sin x)e* dx

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Q: Evaluate: #1) Sx² sin(4x)dx = %23

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Q: Find. S sin3 2x cos3 2x dx

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Q: 5. Use substitution to find S sin1º0 cos 0 d0.

A: We will find the integration.

Q: Evaluate the following: In) 2e*coserdx 3-Sinc dx /3 4 sin x dx 1-4cosx 2- Jo x(Inx)- 1-

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Q: Evaluate 1 dx 3 sin x – 4 cos x -

A:

Q: Evaluate ∫sin 3x cos 5x dx

A: Given: I=∫sin3xcos5xdx                                                          ...1 for finding…

Q: SinX d x cosx +2

A:

Q: Evaluate the integral. sin(5.x) sin(4x) dx

A:

Q: The nth derivatives of sinªx is ㅎ4"cos(4x +

A: FALSE. SOLUTION IS GIVEN BELOW HANDWRITTEN DOCUMENT. nth derivative of sin^4x

Q: S sin 2xcos5dx

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Q: Evaluate cos x -2 sinx sin 2x dx Round to 4 decimal places.

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Q: Evaluate [si sin 3x cos 5x dx.

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Q: 3 Find ſ cos³ (x)dx ?

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Q: Find Dg sin° (7x). 3

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Q: Evaluate | sin X cos X dx 3

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Q: Evaluate S (cos4 x – sin“ x) dx

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Q: Find L(tet sin 3t) CS Scanned with CamScanner

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Q: Evaluate: ∫π cosx dx 0

A:

Q: Evaluate sin 3x cos 5x dx.

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Q: sinx dx (cosx

A: The given integral is ∫sinxcosx2dx.

Q: find d^2/dx^2(sinx+cosx)

A:

Q: Find [sin' xcos³ xdx

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Q: S sin*3xcos*3xdx

A:

Q: Evaluate the following integral. sin x sin 2x dx sin x sin 2x dx =

A:

Q: 2) Evaluate: |x sin5x dx

A: The integration of xsin5x.

Q: Integrate the given function. sin 11x -dp- cos 11x

A:

Q: Evaluate the integral. sin (20x) cos (11x)dx

A: Evaluate:

Q: Evaluate J 100x Cos( 7+10x5)dx

A: This integral can be solved easily by the Substitution method as explained in the step 2.

Q: 5. Evaluate 1. , sin(x?) dx

A: #1 intregal

Q: S sin5xsinx dx

A: Integrations are generally used to find area under the curve when the limits of the integral are…

Q: : Use the result of Example 3 to evaluate '피/2 dx 1 + sin x

A: To evaluate the integral ∫0π2dx1+sinx Solution: The given  integral is, ∫0π2dx1+sinx Multiplying…

Q: Evaluate S(cos“ x – sin“ x)dx

A:

Q: 4. Use Walli's formula to evaluate 2 sin*x cos°xdx.

A: Given integral is as below:-                  ∫0π2 sin4xcos9xdx

Q: 10. Evaluate cos x sin² x dx

A:

Q: Evaluate sin 2t dt. t 8.

A:

Q: ) In(sin(3x +2))

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Q: Evaluate cosx (2 + sin x)°dx

A:

Q: Evaluate 1) S sin ³x cos³x dx

A: Given: ∫sin3(x)cos3(x) dx

Q: Find given sin(3x)cos(x). dx

A: Derivative of y = sin(3x)cos(x)

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.