11)/ tấn (5x° – 4) dx 125x*sec (5x° – 4)-

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A: We need to evaluate the given integral. We will use the formula  Cos(A+B)-Cos(A-B)=-2 SinA SinB

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A: To find : ∫sin3x+cos2x2dx

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A: Let's find.

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Q: 4x sin(4x + 5) dx 3.

A: Answer is here

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A: Find your answer below

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A: Here limit are not given so we integrate only without using of limit.

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A: ∫vn dv =vn+1n+1+C

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A: We have to prove given integral.

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A: Note: It is assumed that the question is asking to test of the validity of the given equation.   It…

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A:

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A: To find the integration

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A: The given integral is, The integral cannot be solved directly and we would have to use some…

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A: 1. ∫sec2x dx=tanx 2. ∫sinx dx=-cosx 3.∫(u±v)dx=∫u dx±∫v dx 4. ∫abf(x) dx=F(b)-F(a), where ∫f(x)…

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

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A: A

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Q: 9, 9. tan 2x dx 0.

A: Integration basically means to find the integrals, i.e., to assign numbers to function in such a way…

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A: Since the question contains multiple part we can solve only first 3 for you. If you want any…

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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…

Q: Find:  ∫sin(3x) cos(6x) dx.

A: cos(2u) =2cos2u -1

Q: Evaluate: | tan(4x + 3)dx i -In |cos (4x+3)|+C A COS 4 В 4 - In |sin (4x + 3)|+C In |csc (4x+3)|+C D…

A: Given: ∫tan(4x+3)dx =∫sin(4x+3)cos(4x+3)dx Substitute :…

Q: do 6) I cos° 0 7 [(1- sin° 31)- cos3t dt 8) | tan (5x)· sec (5x) dx

A: Since you have posted multiple questions we solve first question for you  To get the solution of…

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A: We know that integration of 1/(a2+x2) is (1/a) tan-1(x/a) +c. Here' c 'is constant. Here i attached…

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