6. S (sec y)*(tan y)*dy

Q: Select the basic integration formula you can use to find the indefinite integral.…

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Q: Find the indefinite integral. (Use C for the constant of integration.) cos 6x cos Bx dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) 8 – ex e3x

A: Given that: ∫8-exe3x.dx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) ecos(st) sin(5t) dt

A: Given : ∫ecos5tsin5tdt

Q: Find the indefinite integral. (Use C for the constant of integration.) (In x)7

A: This is a basic integration problem

Q: 2. S VI(x+ 4)dx

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Q: Find the indefinite integral. (Use c for the constant of integration.) [07- 7i- 8tj + In(t)k) dt.

A: Given the integral                    ∫(7i-8tj+ln(t)k) dt

Q: Find the indefinite integral. (Use C for the constant of integration.) de cos(0) – 1

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Q: Find the indefinite integral. (Use C for the constant of integration.) cos 2x cos 4x dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) 2t dt 1- 4t"

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Q: Find the indefinite integral. (Use C for the constant of integration.) (4 cos x + 3 sin x) dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) ex V1- e2x dx

A: Calculate the integration in the following way:-

Q: 3. S (VI + 1)³dx

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Q: Find the indefinite integral S(2x2 – 1) sin(5x) dx using integration by parts.

A: The given integral can be split into two parts as follows, ∫2x2-1sin5xdx=2∫x2sin5xdx-∫sin5xdx…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) Jove ex V45 + ex dx

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Q: 9. S y(sin y)²dy

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Q: dx 13. S —7-8х—х2

A: We have to solve

Q: 1. Se-5t t dt

A: The given indefinite integral is ∫e-5tt dt. We have to compute the value of integration using…

Q: Find the indefinite integral. (Use C for the constant of integration.) 5t dt 1 – 25t4

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Q: Find the indefinite integral. (Use c for the constant of integration.) (2ti + j + 3k) dt

A: Given, ∫2ti +j+3k dt We have to find the above integral.

Q: Find the indefinite integral. (Use C for the constant of integration.) an(x) In cos(

A: The given integral is: I=∫9tan xlncos x dx

Q: 6. Evaluate the following definite integral with the given limits of integration: – 2x + 2 dx 1

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Q: Find the indefinite Integral. (Use C for the constant of Integration.) sinh(3 – 6x) dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) .5 cos dt sin t

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Q: Find the indefinite integral. (Use c for the constant of integration.) tPi + 8tj – 4Vtk) dt

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Q: 5 tan x dx sec x

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Q: 1 2 cos OS x dx 2

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dx (6x – 5)2

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Q: dt

A: We have to find indefinite integral

Q: Evaluate the indefinite integral. (Use C for the constant of integration. to dx 1+x20

A: To evaluate

Q: 3 18 dx 3x" + 2x

A: Given that general integration and we find its value . We know that integration of 1/x is :-  lnx +c…

Q: sin y 9. 1+sin y dy

A: To solve the indefinite integration.

Q: Set up a definite integral to find the length of the curve  y= (3/4)x(4/3) - (3/8)x(2/3) over the…

A: The given curve is,

Q: 5. Evaluate the integral. (Use C for the constant of integration.) sin³ (y)cos (y)dy

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt 9 + tan(t) CoS

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 3 4x2 + 5 + dx 2 X +…

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Q: 7) 4 sin By-6 dy Cos 3y

A: The integration of (4sin3y-6)/cos3y

Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

A: This integral comes under substitution and the substitution is,

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) ecos(25t) sin(25t) dt

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Q: Select the basic integration formula you can use to find the indefinite integral. 10 dt (10t – 3)2 +…

A: Given that              ∫ 10/{(10t - 3)2 + 81} dt Here we have to find the indefinite integral by…

Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

A: On simplification, we get

Q: 2 S sin (ax)cos(ax)dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dx 2

A: Given an indefinite integral

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 8t dt 8t + 5

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Q: Find the indefinite integral. (Use C for the constant of integration.) 10 do cos(0) – 1 -

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Q: Find the indefinite integral. (Use c for the constant of integration.) (2ti +j+ 9k) dt

A: Given integral, ∫2ti+j+9kdt

Q: Apply integration by parts to find the indefinite integral. S e2t cos(3t)dt

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Q: 3. エーy +3 dy Y+5

A: Given : I = ∫y3-4y + 3y + 5dy To find: Value of given integral. Solution:…

Q: Find the indefinite integral. (Use C for the constant of integration.) sin(2x) cos(2x) dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(In(5t)) dt t

A: Evaluate the integral: I=∫cosln5ttdt