Find the general indefinite integral using definition. х5 + 3х — ух + dx

Q: Evaluate the indefinite integral: dz +C IV 36z2-1

A:

Q: Find the indefinite integral. Vx +2 -dp- 3 X,

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Q: 2 3x dx xp, Evaluate the indefinite integral.

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Q: Evaluate the indefinite integral ds= %3D

A:

Q: dz 2+2vz

A: The given integral,       ∫dz2+2z

Q: Determine the following indefinite integral. Check your work by differentiation. 3 dt 64t + 64

A:

Q: @ evaluate the indefinite integral fxº ex* dx

A: Given problem:- ∫ x8 ex^9 dx

Q: Evaluate the indefinite integral using u-sub. Show all work. 2x+4 dx

A:

Q: Calculate the indefinite integral 13 – 7t² – t + 43 dx. - - t2 – 4t – 12

A: Given:

Q: L( -x² + 2x² – 1)dx

A: To give the corresponding indefinite integral. To show the complete solution. ∫-22x5-x3+2x2-1 dx

Q: - Determine the indefinite integral : In(x³) dx.

A:

Q: dx Evaluate the improper integral if it exists

A: The solution is given as follows

Q: Find the indefinite integral

A:

Q: Evaluate the indefinite integral: ∫(sec2 θ) etan θ dθ

A: we have to find the indefinite integral ∫(sec2 θ) etan θ dθ

Q: Find the indefinite integral

A:

Q: Find the indefinite integral by making the substitution x = 2sin(theta)   integral of…

A: Given integral:∫x(4-x2)32dxwe need to evaluate the integral by substituting,x = 2 sinθ

Q: Use the properties of integrals to evaluate integral 0 to 1 (4+3x2 ) dx

A: Given: I=∫014+3x2dx for evaluating given integral, first we separate terms then integrate it

Q: Evaluate the indefinite integral: (8e" + 5 sec? u) du =| + C.

A: We use integration of eu=eu and integration of sec2u= tanu .

Q: -1)*dx

A: Given  ∫02(x-1)2 dx

Q: Find the general indefinite integral using definition. х5 + 3х — Vx + dx X.

A: we need to evaluate the integral,∫x5+3x-x+1x dx

Q: Find the indefinite integral. Use a computer algebra system to confirm your result ∫(tan4 t − sec4…

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Q: Evaluate the indefinite integral. Show work!! dy (1-ev)?

A: Answer

Q: fin(1 + √x dx

A:

Q: XV3x2 – 2 dx 1

A:

Q: Evaluate the iterated integral: 4 za sin(ry)dzdyda = (Express your answer in exact form.)

A:

Q: 3x2 + 2x +1 dx x2

A: See the attachment

Q: Determine the indefinite integral below. 3x 7 e + Vx' dx -7e 3x dx = +.

A:

Q: Evaluate the integral

A: The integral is given by,

Q: Use the substitution u = 3+ eta to evaluate the indefinite integral

A:

Q: Use a table of integrals with forms involving a + bu to find the indefinite integral ∫ x2/(5 + x)…

A: Given integral  ∫x25+xdx Add and subtract 25 from the numerator.…

Q: entus 1. √ √2x + 1 dx

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Q: V1- cosxdx COSX

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Q: e doe

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Q: Csch (2 cosh´0)d0 Csch20

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Q: Find the indefinite integral z(3 +z) dz.

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Q: (a) /(3=² (За? — 6х + 5) dx - 1 .5 x° + 5 1 (b) dx - 4

A: To determine the value of definite integrals.

Q: Find the general indefinite integral. x* + 4x +1

A:

Q: Evaluate the indefinite integral: (3e" + 6 sec? u) du: |+ C.

A: As per guide line we have

Q: Find the indefinite integral by making the substitution a = 6 sec 0. 2-36 dx -1 6 C. Vx2 – 36 + 6…

A: Given

Q: Evaluate the indefinite integral VA+z'dz=[

A: let sqrt(4+z2) = t

Q: 28. Je sin i dt

A:

Q: Evaluate the indefinite integral, show all work. 2x+4 J 22 dx

A:

Q: Evaluate the indefinite integral.

A: Consider the provided integral, ∫z21+z33dz Evaluate the indefinite integral.  Apply the substitution…

Q: Find the general indefinite integral

A:

Q: Use a table of integrals to find the indefinite integral

A: To integrate: ∫lnxx3+2lnxdx Let substitute t=3+2lnx.  t=3+2lnxdtdx=0+2xdt2=dxx Substituting the…

Q: ) Find the general indefinite integral. 9 +Vx + x xp

A:

Q: Evaluate the following indefinite integrals. 1 4x + Vx + dx ,3 (a) -

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Calculate the following indefinite integrals. V-2

A: Given,          ∫x-2xdx

Q: Use the substitution u= 7x +4x to evaluate the indefinite integral below.

A: We have to change the variable from x to u by the substitution u = 7x2 +4x.

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.