Find an antiderivative for each function when C= 0. 1 5 a. f(x) b. g(x) = X 5 с. h(x) %3D 1 -—

Q: Find the antiderivative given below. e dz

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Q: Find the most general antiderivative of the function. f(x) = 3ex + 4 sec2 x

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Q: (x² – 1) + 2y = (x + 1)² dx

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Q: Find the antiderivative of f(x) = sin^2x

A: Antiderivative=∫sin2xdxsin2x=1−cos2x2So,∫sin2xdx=∫1−cos2x2dx=12∫1−cos2xdx=12∫1dx−∫cos2xdx=12x−∫cos2x…

Q: Find the most general antiderivative for the function - 4V?. | Antiderivative = ?

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Q: Find an antiderivative F(x) with F ′(x) = f(x) and F(0) = 0. Is there only one possible solution?.…

A: Given, F'x =fx  fx = 2+4x+5x2   We have to find Fx

Q: J (금2 + 3z2 +1) dz 4. 6) dx 5.

A: 4) the integration of the integral is 3z4/4 +3z2+1 5) the integration of the integral is  -2x5/3 -6.

Q: x In (x?) dx

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Q: t2 +t dt 2

A: ∫t2+t2 dt

Q: a- If w = x² + 2xy and x, y change from initial values (x = 1, y = 3) By amounts dx = 0.01 and dy =…

A: Given: w=x2+2xy So, dw=2x dx+2y dx+x dy...(1)

Q: Find dy/dx by implicit differentiation e^(x/y) = 3x - y

A: We have the equation: ex/y = 3x - y ex (ey) = 3x - y We need to calculate the implicit…

Q: 5. S 2x' dx 6. S*-5x* dx x3

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Q: Write the general antiderivative. (Use C for the constant of integration.) x2+1 dx 5x Need Help?…

A: The integral of ∫xndx=xn+1n+1.

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x²In(x) given the…

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Q: Find the value of [n] for which the area below the x-axis of the curve y = x" log x is d equal…

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Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x-In(x) given the…

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Q: Jt f(x) = e`ln(x), a = =, x = 1.8

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Q: Find the antiderivative for each function when C equals 0. Check your answers by differentiation.…

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Q: Find the most general antiderivative for the function dy/dx =7ex +3. Antiderivative = ........... +…

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Q: Determine the antiderivatives of the following functions: 1. V1-4x² dx 12 2. 1+9x² dx 3. 4+(x-3)² dx

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Q: Q4: Find integration for the following functions: - a- S 3ln²x dx

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Q: The integrating factor of the given DE are already given below. What is the value of "n" y(y²-x-6)dx…

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Q: What is the antiderivative of e^(x/5)?

A: Given:

Q: dx S (x+2)Vx+11

A: Given:  I=∫dx(x+2)x+11 Use the substitution method to evaluate the integration. substitute…

Q: Find an antiderivative for f(x) = lxl.

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Q: | sec 5x dx

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Q: Find the most general antiderivative of the function. ( Use C for the constant of the…

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Q: By direct calculation, estimate the value of df/dt for f(x) = 1/x^2 at x=4. Use an increment of…

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Q: For what function P is the integrating factor α(x) equal to x?

A: We know that , integrating factor of the differential equation is

Q: If f'(x) = 4x°, what is f(x)? (Use C for the constant of integration.) f(x) = %3D

A: It is known that ∫xn dx=xn+1n+1+C provided n≠-1. Given that f'x=4x3. Integrate as follows.

Q: 3. x cos x dx

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Q: For what function P is the integrating factor α(x) equal to ex?

A: Here the given integrating factor

Q: 2х + 1 dx x2 + x

A: Concept : ∫1tdt =ln(t) +c ,where c is constant ; d(xm)dx= m.xm-1 ∫2x+1x2+xdx =? here we can solve…

Q: dy dx || X x² + 100

A: We have given differential equation  dydx=xx2+100 dy=xx2+100dx Integrating both sides…

Q: S: +3 What is the antiderivative of dx ?

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the antiderivative of the given derivative. dp e*+4e -4x dx

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Q: x* +x?y² + y³ = 5

A: x4 + x2y2 + y3 = 5 Differentiating with respect to x; 4x3 + x2(2y* dy/dx) + y2(2x) + 3y2 (dy/dx) = 0…

Q: Given that y = (In(x))²In(), find dy using the method of logarithmic d.x differentiation. dy %3D

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Q: Evaluate 2xz dV where E = {(x, y, z) | 2 < x < 4, x <y < 2x, 0 < z < x + 3y} . E Round your answer…

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Q: Find the antiderivative of the given derivative. dp dx ex+ 2e-2x (ex - e- 2x) 4

A: Given dpdx = ex + 2e-2xex - e-2x4

Q: 2x dx V5 + 4x – x2

A: By see this solution below

Q: Find the antiderivative given below. dx

A: Given the integrationI=∫−5x97dx

Q: Find the most general antiderivative of f(x) = sinh a + sin x.

A: Given that f(x)= sinhx + sinx. Find antidervative of this function f(x). We know that antidervative…

Q: Find the antiderivative of the given derivative. ds 14(4? – 1)3 dt S =

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Q: Find the antiderivative of (ex − e−x)/(ex + e−x)9/2

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Q: Find the most general antiderivative of f(x) = sin x cos x .

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Q: Find the antiderivative of the given derivative. ds = 14t(5t2 – 1)3 dt S=

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Q: Q3. Change the order of integration and evaluate * * dy dx.

A: To evaluate ∫04∫0xdy dx using the change of the order integration. From the limit of integration the…