4. For the function f(x) = 2x² - 3x² sin x + sin x cos x, evaluate ¹₁ f(x) dx

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A:

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Q: the a

A: The solution provided is correct.

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Q: 56. L²₁ dx 2 x² 3 2

A: ∫xndx=xn+1n+1+clet  I=∫-124x3dx

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A: we need to find out the intervals where function is increasing.

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A: check the conservative of f using curl of F

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Q: 1) di If f(x+k) dx=8, where k is constant, then -1 k+3 Shfl k-1 f(x) dx=?

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A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to t

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Q: complementary

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A: Sum

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Q: 6. Given A(-5, 1), B(-3, -7), and C(5, 2), find the measure of ZA.

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Q: Indefinite and Definite Integrals On a piece of paper or on a device with a touch screen, hand write…

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A: Here, we have given an indefinite integral now we will solve it by using method of substitution.

Q: J 4 √ (61 0 (6t - 3) dt

A:

Q: COPY EDIT NOTE: THIS SHOULD NOT BE A PARTS QUESTION. Find each of the following. a = b = (a) a + b…

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Q: 10. The area between two curves is expressed as: A = [f(x)-g(x)]dx If a horizontal element of area…

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Q: For each of the labelled points on the graph, classify the corresponding point on the graph of y =…

A: Given Graph:-

Q: £ { c cos 10x

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A: NOTE: Refresh your page if you can't see any equations. . the given velocity function is  and the…

Q: Write the composite function in the form f(g(x)). [Identify the inr y = tan(x5) (f(u), g(x)) =…

A: Solution: Given data, y = tan(x6)

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A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: stion Determine the concavity of the curve represented by the parametric equations x(t) = −3t² - 3t…

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to t

Q: Evaluate SS √1 + x² + y² dS where S' is the helicoid: r(u, v) = u cos(v)i + u sin(v)j + vk, with 0…

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Q: Evaluate the surface integral ff 3x² ds, where S is part of the surface of a paraboloid with…

A: Given:- ∫∫S3x2ds S is part of surface of paraboloid with parameterization ru,v=vcosu,vsinu,v2 Where…

Q: Differentiate the following function: f(t) = √t - 1 Aft

A: Please see the below picture for detailed solution.