Find d^14/dx^14(2sin(x)) at the point x=π/3

Q: Find the integral ∫dx / sinhx−coshx.

A: We use the exponential forms of sinhx and coshx

Q: What integration technique can be used to integrate: 5√3+x² dx X

A: Follow the procedure given below.

Q: show how to use integration byparts to find integration (arcsin x)^2 dx

A: Let I=Arcsin x2 This can also be written as: I=sin-1x2 Now if we want to integrate above function we…

Q: Use linear approximation to estimate ln(.99)

A:

Q: Verify Eq. (2): cosh2 x - sinh2 x = l.

A: To verify Eq. (2): cosh2 x - sinh2 x = l.

Q: Evaluate ∫x3 √(1 - x2) dx using integration by parts.

A: Consider the given integral Here the objective is to evaluate given indefinite integral.

Q: dx

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Q: Integrate O sinh 2x dx

A:

Q: Evaluate the integral.

A:

Q: |Calculate the indefinite integral / sec (0) tan(@)d0 using two different u-substitutions. Explain…

A:

Q: Estimate (2x – 5) dx using right endpoints for n = 3 approximating rectangles. (2x – 5) dx is…

A: We have to estimate the , ∫15(2x-5)dx using right end points for n=3

Q: integral of 7e7x dx

A: Evaluate the given integral as follows.

Q: 2. COsh(4x)dx

A: We have to solve given integration

Q: Find the indefinite integral. ∫ sinh x/(1 + sinh2 x) dx

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Q: integral of 1/sin3x dx

A:

Q: Integral from 0 to 2pi of sin(2x) dx

A:

Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cmand height 12…

A: Given : Diameter of tin = 8 cm. Height of tin = 12 cm. Thickness of tin = 0.04 cm.   To estimate…

Q: Use differentials to approximate the increase in the area of a soap bubble when its volume increases…

A: Let the radius of the soap bubble be a cm, then the volume of the soap bubble is: V=43πr3        And…

Q: The integ ral csc(0.5) dx is equal to

A: Follow the procedure given below.

Q: The edges of a cube are found to be 10cm with an error ± 0.03cm The volume of the cube is then…

A: Let the side of the cube = s = 10 cmError in the side = ds = ±0.03 cmNow,Volume of the cube = V =…

Q: Find indefinite integral.

A: Let the given integral be y - y = ∫x12+3x-23 dx      Identity to be used - ∫xndx = xn+1n+1+C

Q: dx 8. √√√√x+√√x

A:

Q: integral of tan3xsec^4(3x) dx

A:

Q: Use substitution method to evaluate the definite integral fore dx

A:

Q: 1. ļ | sinh 3x dx

A: The objective is to evaluate the integrarion.

Q: Find integration from 0 to π/4  √(secx) tanx dx

A:

Q: 3. x)dx sin(ln

A:

Q: The circumference of circle was measured to be 24 cm with possible error in measurement of 0.2 cm.…

A:

Q: Find intregal indefinite dx =

A: To evaluate the given indefinite integral.

Q: Find the indefinite integral. ∫ sinhx / (1 + sinh2x) dx

A:

Q: Integrate SX³1IN x)dx

A: Using integration By parts

Q: double integral of ex(sin4x)

A: Let us first simplify the expression.  So,             exsin4x=ex1-cos2x2             =ex1-cos2x22…

Q: What is the value of integral /tanx dx ?

A:

Q: Find the indefinite integral. sinh(4- 5x) dx

A: To find:∫sinh4-5xdx

Q: Find the indefinite integral ∫coshx/sinhx  dx

A:

Q: Use an appropriate substitution to integrate 12 x*(x++ 1)°dx

A: The given integral is 12x3(x4+1)9.

Q: 4) 2²e*dx (Improper Int.)

A:

Q: Find the indefinite integral. S sinh (1 – 2x) dx

A:

Q: Integral sinh2xcosh3xdx

A:

Q: show that d/dx arctan (tanhx) = sech (2x)

A: On differentiation, we get

Q: calculate the integral.

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

Q: integrate x^4cotx^5 dx from 0.4 to 0.8

A:

Q: Integrate f sinh 2x dx

A: In this question we have to find Integration.

Q: Evaluate the integral sinx*ln|1+sinx|dx through integration by parts.

A: Let I=∫sinx·ln1+sinxdx. The integration by parts formula is ∫udv=uv-∫vdu. We choose u and dv…

Q: (21 -x' - 2x + 3)dx Vs 2 ds

A: We use power rule to find antiderivative .

Q: Jcos" (3x) sin (3x)dx in' (3x)dr

A: topic - integration

Q: Integrate completely

A: Given,             ∫2x+12x-53dx

Q: Use integration by parts for both.

A: The given integral is

Q: Find the integral ∫dx / sinhx+2coshx.

A: Given Data The integral is ꭍdx/sinhx+2coshx.   Using the Weierstrass substitution in the given…