INTERGRATE THE FOLLOWING: -0.33 (1). S [8.5244 x 10 (1 – cos(4.759x)] dx ,0.33 (2). [8.5244 x 10-4(1- cos(4.759x)] dx

Q: Find the indefinite integral: cos ( πx ) dx sin, ( π )

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Q: The lowest point on the graph of y = cos x, 0sxs21, occurs when x=

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Q: Separate tanh-1(x+ iy) into real and imaginary parts.

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Q: evaluate using the appropriate method or combination of methods.

A: Use 2sinA*cosB=sin(A+B)+sin(A-B) formula

Q: -sinh(x) at x = 0 is dx21 Answer:

A: Derivative of the function

Q: V3 B) If sinh 0 Find cosh 0, tanh 0, coth 0. %3D 2

A: We are given with sinhθ=32. We need to find some other trigonometric functions. Use the relation…

Q: Evaluate ]e * cos (7x) dx. Seex cos (7x) dx = %3D

A: Explanation of the answer is as follows

Q: .2 x cos 9TTX dx

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Q: I = | In(ax + 1) dx, for a > 0

A: Find the integration of I

Q: Evaluate cos √6x dx using a substitution followed by integration by parts.

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Q: Integrate the following using ~2 x+1 2. dx

A: ∫12x+1xx-1dx

Q: find the following intergral X^2+1/ X-1 dx

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Q: Ssint2x)dx = 2cos(2x) (2x) + С -cos(2x) + C O 2 cos(2x) -cos(2x)+ C

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Q: Find the approximate value of cos59 with the help of differential. w

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Q: The value of integral (cos(4x)+cos(81)) dx

A: We have to determine the integral

Q: Find the indefinite integral. sinh(4 - 7x) dx

A: evaluate the indefinite integral ∫sinh4-7xdx

Q: Approximate 2x e 2 dx using three equal subintervals. - 1

A: To Approximate

Q: 6.) y'of y = Insin(arctan 3x)

A: This is a basic differentiation question

Q: dy Solve for dx given eex (cosx)"

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Q: 2. Find the following indefinite integral. et cos cos (3x)dx

A: To evaluate ∫excos(3x) dx

Q: Evaluate the indefinite integral.   ∫x2 Cos( x3) dx

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Q: Find e dx approximately using Simpsons rule with n 10.

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Q: Find the indefinite integral. ∫(x2 cos x)dx

A: The given integral is ∫x2cosx  dx. Let u=x2  and   dv=cosx dx. This implies that du=2xdx  and…

Q: Use differentials to approximate the value of cos 29°.

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Q: Evaluate the definite integral. sec (x/4) dx 0.

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Q: 1. dx Evaluate 0, et +e-*

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Q: Estimate 1 7 cos(x2) dx 0 using the Trapezoidal Rule and the Midpoint Rule, each with n = 4. (Round…

A: I=∫017 cos (x2) dx             f(x)=7 cos (x2)b=1, a=0, n=4h=b-an=14=0.25aThe Trapezoidal…

Q: 1 dx (25 – x2)3/2 - Show My Work (Required) ?

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Q: The Smith's invest $10,000 in an account that grows to $12,000 in 5 years. What is the annual…

A: Consider the given smith invest $10,000 in an account that grows to $12000 in 5 years

Q: Find the indefinite integral. sinh(8 – 7x) dx

A: From the given problem: I=∫sinh8-7xdx  ....(1) As we know that; ∫sinhxdx=coshx+C

Q: Use x = e to explain why dx (In x) = = -, for x> 0.

A: To differentiate x=ey, with respect to x, use the exponential function rule, ddxef(x)=ef(x)ddxf(x).…

Q: 4 dx X-X-2Ą

A:

Q: The integral of the given function | sin22x cos 7x dx is equal . ....

A:

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

A: To find:∫sinh4-5xdx

Q: Find dy/dx for following functions. 1) y = csc-(e2inx?) + sin-1(2lnv3x)

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Q: Under certain conditions, cane sugar in water is converted into dextrose at a rate proportional te…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Integrate dx/(x+1)(x^2+16) from 0 to 1

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Q: 10. S V9x2 + 64 11. ( sech?(In x) 12. S cosh(5x – 7) dx

A: Given

Q: What is wrong with this calculation? 1 dx In |x||, = In 1 - In 1 = 0 - 1

A: The integral of 1xwith respect to x is log(|x|). where x≠0, cause if it is zero then function became…

Q: d y' of y= In(tanh2

A:

Q: find the antiderivative of dx/sqrt(ex-1)

A: To find : The antiderivative of dxex-1 Solution The antiderivative can be evaluated as, ∫dxex-1 Put…

Q: Evaluate the definite integral.

A: ∫012arccosx1-x2 dx Consider, ∫arccosx1-x2 dx Now put, arccosx=t⇒-11-x2=dtdx⇒11-x2 dx=-dt Therefore,…

Q: Find the indefinite integral ∫ [arctan(x/2)] / (4 + x2) dx

A: ∫arctanx24+x2dx Now put, arctanx2=t⇒11+x22·12=dtdx⇒11+x24·12=dtdx⇒44+x2·12=dtdx⇒24+x2=dtdx⇒14+x2…

Q: Find the definite integral 10 (2х — 3) dx

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Q: -2 dx 0 (3+x)² 2

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Q: Solve the definite integral e(arcsin(x)) dx. /1 – x²

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Q: Find y' of y= In(tanh2x)

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Q: If f(x) = 4 cos x – 6x, find the relative percentage error in f(x) for x=0, if the error in x is…

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Q: Find the indefinite integral. sinh(2 – 9x) dx

A: