4. J 5 5. S 12 7 in 3x dx 6. S (10 x - 40) dx x 2 - 8 x + 15 8. S

Q: dx 6. J Vx2-4x+13

A: As per bartleby guidelines we only give first question answers.

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A: y=(x – 1)(2x – x2)   +sin-1(x – 1) y'(x)=d(x – 1)2x – x2   +sin-1(x – 1)dx        =d(x – 1)2x – x2…

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A: Given    slope is 1st derivative

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A: See the answer below

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A: See this solution in below

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A: (3)f(x)=2x+3 if  x≠12     if  x=1limx→1-f(x)=limx→1-2x+3=5limx→1+f(x)=limx→1+2x+3=5f(1)=2it is…

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Q: sec =zydy

A: Given

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A: topic- derivative and integral

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A: As you have asked multiple questions so I have answered first question as per the guidelines

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A: 1.

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A: Let's find area between line and given curves.

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A: Solution: Let f(x) = x4 - 8x2 find where f'(x) is equal to zero or undefined  f'(x) = 4x3 - 16x

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A: We have to find out the trigonometric ratios

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A: answer is in next step. please give  a like!!!!

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A: The given expression is; x2-2x+2x+12   As we know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And…

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A: