Find 6x2 sin x3 dx

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A: We have to solve given problem:

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A: Given integral is: ∫5cotx-sinxcsc2xdx Rewriting the integral:…

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A: Integration is a process of finding the antiderivative of a function. There are basically two types…

Q: x sin 3x² dx

A: Our Aim is to integrate the following integral given below:-∫x sin (3x2) dx -(i)

Q: [x² sin 3xdx

A: By Parts Method: ∫u(x)v(x)dx=u(x)∫v(x)dx-∫dudx∫v(x)dx ∫sin3xdx=-cos3x3∫cos3xdx=sin3x3

Q: sin(16x) = D² +256

A: It is particular integral problem If the rule fails then we differentiate denominator and then apply…

Q: 8x sin x dx Select one:

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Q: ( 2sinx sin(2x) dx

A: Given,        ∫2sin2xsin(2x)dx

Q: Find ∫x3 sin x dx.

A: We will solve it using Integration by parts: The formula:                           ∫uv=u∫v-∫ddxu∫v…

Q: Evaluate sin2xlogtanx dx 0.

A: We will evaluate the definite intrgral as following.

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Q: Evaluate  ∫ππsin2x Cos4x dx .

A: Since the upper limit = the lower limit  So the value of the function will be 0

Q: b) S (7x² – 5x² – 4)sin (3x) dx |

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Q: - Se-3x sin 4x dx

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Q: x sin(2x2)dx

A: We have to find the integral.

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A: Differentiate   Sin(x^2 +1)

Q: csch (2 sin2x)dx 1. 1– 4x²

A:

Q: x² sin 2x dx

A: From integration by parts method we know that, ∫udv =uv-∫vdu From given date ∫x2sin2xdx  Let u= x2…

Q: Evaluate ∫ 3x2 sin(x3) dx.

A: To evaluate the integral  ∫3x2 sinx3 dx

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A: This question is taken from the indefinite integral in which we have to choose the correct option…

Q: 12 Sin xdx

A: Given: ∫0π2sin12x dx

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A: We have to find indefinite integral

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A: The integration of xsin5x.

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A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: Evaluate sin (4x) dx

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A: We have given (sin x – cos x)2 = 1 – sin 2x

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Q: Number 17

A: First we break sin^3 x in sin^2x*sin x, and then we replace sin^2 x by 1-cos^2 x.THen in the next…

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A: We have to use chain rule here.

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A: the given integral is: we have to evaluate the given integral.

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A: We have to find the definite integral

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A: First apply substitution method then U.V formula of integration

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A: Consider the given integral

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A: