Evaluate the indefinite integral. for Je" sin(5a)dr

Q: Evaluate the indefinite integral. 51 da cos (25x) +C

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Q: Evaluate the indefinite integral. be sin (e*) dr

A: Solve the integral by using substitution method

Q: Find the indefinite integral ∫tan6 3x dx

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Q: Evaluate the indefinite integral. sin(-3x) dx +C.

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Q: Write the integral as a sum of integrals without absolute values and evaluate.

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Q: Find the indefinite integral and check the result by differentiation. 4u? + 14и — 9 du u* 4

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Q: Evaluate the indefinite integral ∫ sin8 θ cos θ dθ

A: Let and differentiate it with respect to and find .

Q: Evaluate the integral. 14 sin?(x) cos³(x) dx

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Q: Evaluate the definite integral da

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

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Q: evaluate the indefinite integral.

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Q: Calculate the indefinite integral:  ∫ sin(θ − 8) dθ

A: Given: ∫sinθ-8dθ

Q: Sin * :-

A: Solve the integral by using substitution method . Basic integral :∫xndx = xn+1n+1

Q: Find the indefinite integral and check the result by differentiation                   ∫ 6u6 √(u7 +…

A: Then we integrate by substitution   C=integrating constant

Q: V64 – x? da

A: Given: ∫64-x2xdx

Q: Find the indefinite integral. sin 60 V cos 6e de

A:

Q: Evaluate the definite or indefinite integral, if they exist. If they do not exist say DNE: os'…

A: given,      ∫012+5xdx

Q: Evaluate the definite integral. 1 da = 3 +2

A: ∫391x+2dx find definite integral

Q: Find the indefinite integral by using the substitution x = 9 tan(0).

A:

Q: Evaluate the definite integral. -2 (и — 1)? dz

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Q: Evaluate the definite integral | (16 – a*)dæ -

A: Please refer to the image below

Q: In evaluating sin (2x) cos(2x) dr by substitution, if u=sin(2x) then what will be the resulting…

A: The solution are next

Q: Evaluate the indefinite integral: tan(0) cos(0) c

A: Given: ∫tan2θcosθdθ

Q: Evaluate the integrals

A: The given integral is ∫0πsin25rdr formula used: cos2t=1-2sin2t⇒sin2t=1-cos2t2

Q: Find the indefinite integral. sin 70 Vdos ve de COS 70

A: The given integral is ∫sin3(7θ)cos(7θ)dθ

Q: sin(2r)dr

A: Let, I=∫exsin(2x)dxI=sin(2x)∫exdx-∫ddxsin(2x)∫exdxdx  ,  [by parts…

Q: 13. | sin(Tt/3) dt

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Q: sin(34x) dx 1 + cos-(34x)

A:

Q: Find the indefinite integral dr

A: Given: The integral ∫x2e6xdx, To evaluate: The value of given indefinite integral.

Q: Find the indefinite integral.

A: Given : ∫θtan2θ2dθ

Q: Find the indefinite integral. sin3 70 V cos 7e de

A:

Q: Evaluate the integral. 39 sin(40) de

A: We follow the steps that are given in the solution to find the missing values.

Q: Find the indefinite integral ∫tan5 (x/2) dx

A: It is given that, ∫tan5x2dx. We have to evaluate it.

Q: tan3x secaxX

A:

Q: Evaluate the indefinite integral.

A: To integrate

Q: [sin¹ 3x cos² 3xdx

A:

Q: Evaluate the indefinite integral tan" (2x) dx

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Q: Evaluate the indefinite integral. tan(5x + 8)dx

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Q: Evaluate the definite integral. 8Vu du

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

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Q: evaluate the indefinite integral.

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Q: Rewrite as the equivalent definite integral in terms of u, but do not evaluate. 12x -dx (3x2 + 1)?…

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Q: Evaluate the integral. sin +5 dt

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Q: In evaluating/ *sin³(2x)cos(2x) dr by substitution, if M = sin(2x) then what will be the resulting…

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Q: 28. Je sin i dt

A:

Q: dr

A: Given,           ∫1x+x 3 dx

Q: Evaluate the indefinite integral sin2 (7 - 2) de

A: Indefinite Integration

Q: Evaluate the indefinite integral: | 9 sec" ¤ dx. tan r dæ.

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Q: Evaluate the indefinite integral sin5 s cos sds %3D

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Q: Evaluate the definite integral. 2 dz

A:

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.