Evaluate the integral da (7x + 10)2" by making the appropriate substitution: u = dx (7x + 10)

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A: Topic = Integration

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Q: Evaluate the integral. 2 5 dx VE x²Vx² – 1 .2 - NOTE: Enter the exact, fully simplified answer.

A: We have to calculate the value of given integral.

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Q: Evaluate the integral. x sec2(8x) dx = +C

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A: To evaluate the given integral.

Q: Evaluate the integral. x sec (9x) dx +C

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Q: Evaluate the integral ∫dx/1+2x2.

A: Given :

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A: To evaluate the integral: ∫x25-9x2dx Solution: ∫x25-9x2dx…

Q: Evaluate the integral.

A: Given integral to evaluate ∫14x249-x2dx=14∫x249-x2dx substitute u=sin-1x7x=7sinudx=7cosudu The…

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A: To evaluate the integral: ∫2tan3xsecxdx We know that sec2x-tan2x=1 Given interal can be re-written…

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A: *Given integral is, I=∫251x2-132dx Integrate the above expression. I=∫251x2-132dx Put,…

Q: Evaluate the integral. dx 3 x+Vx² + 27

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Q: Which integral could be evaluated using the substitution u = x ?

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Q: Evaluate the double integral : 8. dy dx 88 -

A: We have to evaluate the given double integral   The given expression is

Q: Use any method to evaluate the integral. 8 dx (16x? + 1)?

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Q: Evaluate the integral of dx/sqrt(x2+4) without using the right triangle method.

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Q: 2x dx Vx+3

A: Topic = Integration Use∫xn dx=xn+1n+1+C

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Q: dx 4 3

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Q: Use the integration by substitution to find the integral –6x² – 4 dx . (7³ + 2x)²

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Q: Evaluate the integral -9 dx Vx² + 16

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Q: Use the Midpoint Rule with n = 3 to approximate the integral 10 %3D (7x - a2)da

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Q: Evaluate the integral. x sec2 (3x) dx = +C

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Q: Evaluate the integral dx S 2xx - 3x2

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Q: Evaluate the integral.

A: To evaluate ∫1x3-1dx

Q: Evaleiate the integral by completing the 5Guare. -dx x"+2x²+2

A: Use method of substitution to solve it.

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A: Reduction formula

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A: Given integral:

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A: To find: The integral ∫dx 2xx3-3x23 Concept used: ∫1-v2+1dv=lnv+12-lnv-12

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A: Given query is to find the value of the integral.

Q: Evaluate the integral. S- dx 8 =, x> 7 V49x2 - 64

A: Solution-

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Q: dx /9 – x²

A: To evaluate the given integral: I=∫dx9-x2

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Q: Evaluate the integral. x sec (8x) dx + C

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Q: Evaluate the integral dx (7x + 6)2

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Q: Evaluate the integral. '8 xet dx (1 + x)?

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Q: 16 dx Vx-1 6,

A: I=∫9161x-1dxPut u=x-1differentiate w.r.t.xdu=12xdx2xdu=dx2(u+1)du=dxas x→9  ,u→2 as x→16 ,…