1. | costx dx 4. Cos*X

Q: find x,sin(2cos-1(cot(2tan-1x)))=0

A: Given: -

Q: Use the trapezoidal rule with n = 5 to approximate 3 cos(x) -dx Keep at least 2 decimal places…

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Q: csc squared x/2 = 2/1-cosx verify with steps

A: To Verify:

Q: x³ cos x dx

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Q: T/4 sin(2x) sin x dx. 0,

A: The given integral is ∫0π4sin 2x sin xdx. Evaluate the given integral as follows. ∫0π4sin 2x sin…

Q: sin(3 dx

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Q: sin 2ydy 4 – 3 cos 2y

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Q: Evaluate the inclepinite infegral Cos 3X +3 dx Sin 3x

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Q: Ssin | sin" x cos" x dx if find

A: Odd function :- When the function is of the form f(-x)=-f(x) i.e., when the value remain same but…

Q: Use the trapezoidal rule with n = 5 to approximate cos(x) -dr Keep at least 2 decimal places…

A: The trapezoid rule is

Q: sinx-1 V(1-x2 dx

A:

Q: Evaluate the integral.

A: Given: ∫01 tan-1x1+x2 dx To find: Value of the integral.

Q: Complete the integration: 1 1 Scos (2x)dx = sin 2x -sin 2x + C Determine the value of "?".

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Q: f tanx = 5 and cosx > 0. Sh

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Q: sin x (cos x + 4) dx 2. S 1+cos²x

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Q: | cos (5x) cos (3x)dx

A: Given integral: ∫cos5xcos3xdx We know, cosαcosβ=12cosα+β+cosα-β. Also, ∫cosxdx=sinx+c.

Q: (3X dx =? Sinmply

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Q: dx 20.5 x√4x²-49

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Q: Use Simpson's rule with n = 4 to approximate cos(r) -dx Keep at least 2 decimal places accuracy in…

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Q: ) Evaluate cosx sinx V1 – sin4x dx.

A: Use substitution method to solve this

Q: I3Jsin'x cos x dx .6,

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Q: If tanh(x) = 24, find the values of the other hyperbolic functions at x. sinh(x) %3D cosh(x) coth(x)…

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Q: Please show the steps, thanks. ∫sin^2 x- cos^2 x/ cos x * dx

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Q: sin $3xcos 3x dx

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Q: (sin°x dx

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Q: What is the antiderivative of sin^2(x) + 2sin(x)?

A: Antiderivative of sin^2(x) + 2sin(x) is given by,  ∫[ sin2x + 2sinx ]dx =∫sin2x dx + ∫2sinx dx

Q: Sih X pronf:, sin1x) cosinx)dx Sin (1-h)X

A:

Q: What is the antiderivative of  2(sin(2x))/sin(x)?

A: The anti-derivative of a function is a differentiable function whose derivative is equal to the…

Q: Use the trapezoidal rule with n = 8 to approximate %3D cos(x) Keep at least 2 decimal places…

A: We have to find the value of the integral∫16cosxxdx using trapezoidal rule with n=8. From…

Q: S cos3 x sin* x dx

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Q: 5. (2xy – sinx)dx + (x2 - cosy)dy = 0

A: see below the answer

Q: Evaluate the intergrals. ∫ ex sin2x dx   show the complete solution. step by step

A: There are exponential function and trigonometric functions in the product in the given integrand.…

Q: sin(3x)]dx

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Q: (1+ tan(z)) sec² (x) dx

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Q: Integrate ing with res pect to x; +8 - (3x+2) - the followi Sin (x) + + 2 4x dx 4 5x

A: Formula : 1. ∫xndx=xn+1n+1, n≠12.∫(ax+b)ndx=(ax+b)n+1a(n+1)3.∫1xdx=lnx4.∫sinx…

Q: dx Evaluate

A: ∫0919+x2dx

Q: (cotx + tanx)² dx 3 4

A:

Q: Use the trapezoidal rule with n = 8 to approximate cos(x) -dx Keep at least 2 decimal places…

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Q: X= sin 2tS In %3D Find dw 2- Cost

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Q: 1) Completely integrate the following: f sin*(3x) dx

A: Let ,I=∫sin43xdxPut 3x=udifferentiate 3dx=dudx=du3I=∫sin4u13duTake the constant out:…

Q: Find sine half range for f(x) = \cos x for -t< a <n %3D cosx for f(x) for 0<x <n. cosx

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Q: æ sin(x?) dx.

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Q: 3. Use trigonometric substitution to evaluate Sx V9 – x² dx

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Q: I. Power Formula cosh3x dx 1. S (1+2sinh3x)5 tanx dx 2. S (1+Iпcosx)2 3

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Q: Use integration by parts to evaluate (tan- dx. Express your answer in four (4) 2 decimal places.

A: By part integration: integration uv = u(integration v) - integration ( (u')(integration v))

Q: x sinxdx (Tic-Toc-Toe)

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Q: Integrate this item using (parabolic) Simpson's rule, with interval width of 2.00 units. x tan x +…

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Q: d. tion to prove that (cscx) dx = – CSC X COt x. 86. Use the quotient rule and the derivatives of…

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