This is calculus

Q: . Find EY.

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Q: Evaluate 2x In(т)dz

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Q: Find la da without using the Fundamental Theorem of Calculus.

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Q: State and prove the first fundamental the orem of calculus and its importance?

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Q: -) Find the vel

A: Given that, s(t) = t3 - 7t2 + 2t  ; t >= 0 (a) Velocity (v) at time t is given by: v(t) = ds/dt =…

Q: need it fast  do number 8

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Q: () Stany" (secx)"dx 4.

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Q: Evaluate /" In Vx dx.

A: Given integral is

Q: Sketch r:

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Q: dv as

A: Given: I=∫dvev We know that ∫ekxdx=ekxk+c…

Q: Differentiate the following with respect

A: Given, f(t)=3cos(2t). Differentiate given function with respect to t.…

Q: ydx not exact

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Q: derivation is required

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Q: Is it possible to have it a little more detailed?

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Q: Ex +3

A: We have to find the measure of angle <DEF. Now we see that, there is a pair of parallel lines and…

Q: Evaluate ∫sec3 x dx.

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Q: (b) dx

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Q: 1. S x2

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Q: Use The Fundamental Theorm of Calculus.

A: Derivative of the function f(x) is the measure of how fast the value of function changes when the…

Q: Use meau value theorem ex > 1+x for

A: The Mean Value Theorem states that if a function f   is  continuous   on   the closed interval [a,b]…

Q: find dy du

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Q: de

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Q: Evaluate. (Be sure to check by differentiating!) |(x³ + 1)*x² dx 4.

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: sec 180⁰

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Q: DE

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Q: Find its ar

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Q: State the first part of the Fundamental Theorem of Calculus (FTC).

A: The first part of fundamental theorem of calculus states that -

Q: (2 + j)?

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Q: Evaluate , L (x + 3) dydx

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Q: Find the length x.

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Q: integrate the folowing expression. +2)* (6x°dx)

A: To integrate:∫x6+24· 6x5dx

Q: )find dy to yalog,o(3X+1)

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Q: find fxe*dx

A: Given integral is ∫xexdx. Solve the integral. Formula used: Integration by parts: ∫u·v…

Q: How was the birth calculus attained?

A: Calculus was borned, rather developed independently by Newton and Leibniz, this marked as one of the…

Q: Use relevant definition(s) and theorem(s) to prove the fundamental theorem of calculus part 1.

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Q: Rise over Run Independence Practice

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Q: ~3 Evaluate 6x* + 2) dx. -3

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Q: Inx lim メ→」* メー

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Q: Explain in your own words what the Fundamental Theorem of Calculus says. Be sure to address both…

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Q: Evaluate fx² cosh x dx

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Q: (tant)2 dt ? + 1 ,2 -00

A: We have to evaluate the given integration

Q: Use the result of Example 2 to evaluate dx.

A: ∫1∞1x4 dx

Q: where are used calculus?

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Q: Evaluate ∫dx / secx+1.

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Q: at is the an

A: The given power series is ∑n=1∞(2n-1)nn3=∑n=1∞an then an=(2n-1)nn3

Q: Integrate 0.

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Q: I am unsure about how to solve the attached calculus question.

A: Given,

Q: Evaluate ((x + sec² (Tx))dx

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Q: Find PQR. Show your work.

A: Given,