sin x dx 4 3 Show that -

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A: Devide the Numerator and Denominator by Cosx and do the further calculation.

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A: 3)   ∫-34(5-x2) dx=5x-x24-34                                =54+3-16-94…

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A: Evaluate :   ∫sin(3x)sin(x) dx

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A: Since, you have asked multiple question, we will solved the first question for you. If you want any…

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A: Consider the following integral:

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A: see below the calculation and answer below

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A: See the details solution in below

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A: For the given Definite integral is evaluate by using change of variable method as shown below

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A: First we put sin-1(x/9)=t and differentiate both side with respect to t and then solve it. Follow…

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A: Here given integration I=∫cos x-4/3sin x dx Consider cos x=t-sin x dx=dt

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Q: find

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A: Use the rule, ∫ uv dx=u∫v-∫ddxu·∫v dxdx to evaluate the given integration.

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A: For the detailed solution of the problem follow the next step.

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A: To find derivative, we will first take logarithm on both sides and then differentiate it .

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A: Given: I=∫cosx5+sinxdx For evaluating given integral, we substitute sinx=t…

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A: Solution of the problem as follows

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