Suppose a strange particle travels with a velocity (m/sec) of v(t) = , where t is the time it has travelled, in seconds. Approximately how far did the particle travel between t = 1 and t = 2? Make your approximation without integrals.

Q: Find the indefinite integral. (Use C for the constant of integration.) dx x(In(x²))7

A: Let us assume that:

Q: Find the indefinite integral. (Use C for the constant of integration.) tan5 dx sec x

A: We have to find the integral of the given expression   The expression is   ∫tan5xsec8(x)dx

Q: Find the indefinite integral. Solution in handwritten. 1. f =dx /1+x4

A:

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

A: Given that: ∫8-exe3x.dx

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

A: Use substitution tan(4x)=t

Q: Verify whether the function g(x) solution of the integral equation R P daft

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) V3 dx

A: Objective of this question is to solve the indefinite integral  I=∫3dx Since x0=1, the integral can…

Q: evaluate the indefinite integral.

A:

Q: A particle is projected vertically upward from a point 112ft above the ground with an initial…

A: In the projectile motion a particle is thrown upward with some initial velocity and its come down…

Q: Find the indefinite integral. (Use C for the constant of integration.) cos5 t dt sin t

A:

Q: 1. L, 4x³ dx -2

A: Value of definite integral is 65.

Q: sinh x dx 1

A: The integral ∫sinh-1x dx can be written as ∫sinh-1x·1 dx. Now use integration by parts to evaluate…

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

A: Consider the given integration as

Q: Find the indefinite integral. (Use C for the constant of integration.) sin(a^) « dx

A:

Q: Find the length of the arc of x2 + y2 = 64 from x = -1 to x = -3, in the second quadrant. (Solve…

A: We need to find arc length.

Q: Find the indefinite integral. (Use C for the constant of integration.) 6 cosh(Vx) xp

A: The given integral is∫6coshxxdxwe will solve the above integral using substitution method.

Q: calculate the integral.

A: Given integral is WE will use following substitution to evaluate the integral.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 1 sin dx

A: Let I=∫sin1x6x7dx

Q: S°(xe* + 1)dx

A: In this question we have to solve the given integral by using some of the newton-cotes rule.

Q: Find the general indefinite integral. (Use C for the constant of integration.) (Sx² + 8 +) dx 4 x2 +…

A:

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

A:

Q: Find the indefinite integral. ∫ cost /(1 + sin t) dt

A: we have to find the value of the given indefinite integral: ∫cost1+sintdt let the given integral be…

Q: Find the general indefinite integral. (Use C for the constant of integration.) - 3u4 ته( ل u? +)

A: This question can be solved by using some basic formulas of integration like ∫xndx

Q: Find the general indefinite integral. (Use C for the constant of integration.) + 9x3.5) dx

A:

Q: Consider dx. What will be the appropriate solution and answer to this improper integral?

A: Here we have to find the appropriate solution and answer to this improper integral∫-∞1xe-x2dx

Q: Find the general indefinite integral. (Use C for the constant of integration.) 7x2 ) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 9x° + 5 (+9 dx (x° + 5x)-

A: To evaluate the given indefinite integral.

Q: Find the general indefinite integral. (Use C for the constant of integration.) / (2x² + * + dx x2 +…

A:

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

A:

Q: 4. Calculate the integral, f 4e" sinh x dx.

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) t° Vt9 - 23 dt

A:

Q: dt

A: We have to find indefinite integral

Q: Find the indefinite integral. (Use c for the constant of integration.) [ (71- - 8tj + In(t)k) dt

A:

Q: Suppose we were instead asked to calculate the integral x sin(x) dx. Can you calculate this integral…

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Q: Find the indefinite integral. (Use C for the constant of integration.) sec' 4x tan 4x dx

A: Topic- integration

Q: For Trig integration find the integral of  Sec^6(6x)

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) + 7X dx 1)e*?

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) + 8x + 7) dx

A:

Q: Suppose the side length of a cube is measured to be 5cm with an accuracy of 0.1cm. a) use…

A:

Q: sec dx Eanx

A: Given

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

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) 8x + 4 + dx x2 + 1

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) sin 2x 9. dx sin x

A: Explanation of the answer is as follows

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

A: Given,          ∫x8ex9-2dx

Q: |x| dx 1–x²

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) xp

A: The given integral is ∫8x4x2+54dx

Q: Find the indefinite integral. (Use C for the constant of integration.) dx | x(In(x²))5

A: This is the indefinite integral problem