y = Int is a solution for y" - (y')² = 0 Select one: True False

Q: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

A: The volume of the cylindrical shell is given by V=2πrh∆r, where ∆r is the thickness of the shell.…

Q: Use integration by parts to find the indefinite integral ∫x2 ex/2 dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 9 - ex dx e7x

A: Given integration is : ∫9-exe7xdx  Use the formula of integration, ∫eaxdx=eaxa+C

Q: Find the indefinite integral. (Use C for the constant of integration.) -0.2x е dx

A: We have to find indefinite integration: ∫e-0.2xdx In this case we use substitution method, so let…

Q: calculate the indefinite integral.

A:

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: 1 2 -5) dx x3

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) tan2 dx secº x

A: The objective is to evaluate∫tan2xsec5xdx. The formula for integration is ∫xndx=xn+1n+1+c

Q: Find the indefinite integral. (Use C for the constant of integration.) sech8 x tanh x dx

A: See the details solution below

Q: Use integration by parts to find the indefinite integral.

A: We have to evaluate the following integral: int x2 ex/2 dx ; using integration by parts

Q: Use integration by parts to find the indefinite integral ∫x e1-x dx

A:

Q: Find the indefinite integral ∫ (ex + e−x)/(ex − e−x) dx

A:

Q: L* dx 1 S Int dt

A: We will use the Newton Leibnitz formula

Q: 2 sinh x 2. Calculate the integral, dx. 5+6 cosh x

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) |zV 16z2 - 81 zp

A: ∫1x2+a2 dx = 1aarc tan(xa)+C

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: 2 sinh x Calculate the integral, J dx. 5+ 6 cosh x

A: Given :∫2sinhx5+6coshxdx

Q: Find the indefinite integral. (Use C for the constant of integration.) tan( 2 dx sec 20 20

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) dz zV 25z2 - 49

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) (7x2 + 5x-2) dx

A:

Q: sinh x – 1 dx cosh x

A:

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: x2 dy dx by reversing the order of integration. 4/x 1. Evaluate

A: Given double integral is∫14 ∫4x4x2 dy dxNow , By interchanging the integral we have ,∫y=14…

Q: Find the indefinite integral. (Use C for the constant of integration.) tan' x dx sec10 x

A:

Q: Sz x² sin 2x dx (Integration by Parts)

A:

Q: Find the indefinite integral ∫ (ex − e−x)/(ex + e−x) dx

A:

Q: Integral from 1 to e of 5t^2 lnt dt

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) dz zV 49z2 - 9

A:

Q: To calculate x²e*dx dp, integration by parts is the best integration technique to use. O True O…

A: Explanation of the solution is given below...

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

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 8 dz zV 49z2 - 25

A:

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

A:

Q: (x² cosh(sin(x-y))= intx-vn) = X' dy 9.

A:

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

A: The given integral is,

Q: 2. se integration by pacts to eval integralig x² In (3x)dx niz

A:

Q: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

A: Solution.

Q: E^tan(9x) sec^2(9x) dx

A: Consider ∫ etan 9xsec2 9x dx. Put t=tan 9x. Now dtdx=9sec2 9x⇒sec2 9x dx=dt9

Q: dx y.= dy y arctan (-x 2a

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) |Vtan(8x) sec²(8x) dx

A:

Q: Find the indefinite integral. Solution in handwritten. 1. secy (tany - sec y ) dy

A:

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

A:

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

A:

Q: Find th Integral. for the constant of Integration. |(7 cos(x) – 2 sec?(x)) dx

A:

Q: 3 sin 2t 1. If f (x) = Jx Ve2+Int dt, find f'(x) Jx Jt?+Int

A:

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

A:

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

A: We have to find the indefinite integral ∫cosh8x dx.

Q: Find the indefinite integral. (Use C for the constant of integration.) 3X°V3X* + 4 dx

A: Answer and explanation is given below..

Q: Find the liner Jeneral integral of differential equations. ) (xy' -1) Int=24

A: Given:

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.