Integral 2: 1/2 1/2 e* dx √ x ex

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Q: 7. S(2 + tanx)²dx

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Q: dy Find when y = a dx (a) (b) (c) (d) 2bx x4 + b² Arctan Arctan(2) 2bx ln a _ Arctan x4 + b² x In a…

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A: To Find: differentiation of y=x arcsec(xy)

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A: We have to find integration by substitution

Q: (1+x*)dy + x(1+ 4y²)dx =0

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Q: Integral sign:  cos(lnx) dx

A: According to the given information it is required to calculate the value of the integral:

Q: dy +x? = 1 dx %3D

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Q: d/S Vx5 dx el S- dx, (x # 0) 2x

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Q: du LI+ )(1 + tan"! v) 19. (1 + v²)(1 + tan v)

A: Since you have asked multiple question, As our policy we will solve the first question for you. If…

Q: 3. y'cosh?x = sin² y, y(0) = 2 %3D

A: We will use the method of separation of variables and then integrate.

Q: Find cosh² (t) sinh5 (t) dt.

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Q: x +1 -dx x² (x – 1) (a) Integrate

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Q: dy x3/2 dx

A: Given: dydx=x32

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Q: Integrate the following derived functions:

A: This question can be solved using the concept of integration by substitution.

Q: Sove for dy 4 X3 hy= e*csch (2-y?)

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Q: Antiderivative (cosx)dx/(1 + sinx)^2

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Q: \lim_{x\rightarrow 7}\frac{x^2-5x-24}{x^2-4x-32}x→7lim​x2−4x−32x2−5x−24​

A: find out the limits of  a)limx→7 x2-5x-24x2-4x-32 b)limx→7x2-4x-32x2-5x-24

Q: c2 1 dx x² +1 4. e* + 0.

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Q: 2dy+ydx=y3(x-1)dx (Bernoulli)

A: We have to find the general solution of differential equations

Q: cosh x dy + (y sinh x + ex) dx = 0

A: Step 1:

Q: Solve (1 + e/) dx + e%/Y (1 – x/y) dy = 0. %3D

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