2 -1 X%D X. 9 2

Q: x e2x dv

A:

Q: 1. The value of X = L5

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Q: S(2x – 3) dx 5. e6x

A: The given integral is: I=∫(2x-3)e2x2e6xdx=∫(2x-3)e2x2-6xdx

Q: 1 [{t• c*} = s2(s – 3)

A:

Q: Limet ¿xe +e-* =2 Eind

A: Given limit is                               limx→0ex+e-x-2x2 First of all we will check the form of…

Q: ³ +5 dx r4 – x3 + x²

A:

Q: (5x* + e*) dx

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

Q: X Frequency 12 2 1 3 3 4 14 5 15 7 10 85

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Q: :1 S* d(x³). 3

A:

Q: е. e-5x dx

A: Note: "Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Find GE H 6 7 S. x+6 x+4 F

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Q: / de 를 구하여라. 2 + e" 1 04.

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Q: x²(3 –4x)dx -4 318 338 358 378 None of the Above

A: Given: I=∫-4-1x23-4xdx   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: d [x2 + dx|x4 d dx [(x2 + 1)50]

A: To evaluate the following.1 ddxx2+1x4-12 ddxx2+150

Q: S; x4+81 dx x(x+9)²

A:

Q: a e B1(0)

A: answer is in next step

Q: xdx 5. S; х —1

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Q: | 3(x + 1) + 6|s 15

A:

Q: Table Q2 Solar intensity obeerved in an open space 14.00 4.27 17.00 5.98 12.00 08.00 1.55 11.00…

A: Given: x y 08.00 1.55 11.00 2.67 12.00 3.02 14.00 4.27 17.00 5.98 To find y at x=10…

Q: s 2 7x² + 15x + 22 (x-3)(x² + 4x+5) dx

A:

Q: 4. e¬X + 1 хр

A: Here we have to so u-subsitution to solve the integral. ∫dxx =ln|x| +C, where C is integration…

Q: S(x5 + 10)®x*dx 4 X.

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Q: e 4x =dx Ve4x – e

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Q: evaluate L-1 { t/(s-2)(s+3)}

A: By using partial fraction and table of Laplace transform we solve the given problem as follows :

Q: Sx³e**dx

A: Given,           ∫x3ex2dx

Q: 6 x V1+2x dx 20 15 25 13 30

A: Consider: ∫046x1+2xdx. Let v=1+2x  Implies v2=1+2xv2-12=x When x=0 implies v=1+20=1 and when x=4…

Q: S (8)0.5x dx 2

A: Consider the integral as, I=∫2480.5xdx Simplify the expression as,…

Q: 5x. e dx

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Q: 6. e2x dx 3.

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Q: ·Sa 20. x² dx (x − 1)(x² + 2x + 1)

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Q: 7 е. 7g(x)dx = 5

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Q: e-5x x dx

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Q: e (5) Į 1 dx xVln x

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Q: the Pollowing D.E So Ve 3メ 12 X +3 =e |

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Q: b) S x°lnx dx

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Q: Part D E

A: Q

Q: S(e" +e")'dv -2v

A:

Q: 8 ese (300) A D.- E.-

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Q: 4. 2xe tx dx

A: The given integral is ∫2xe4xdx. Let u=2x  and  dv=e4xdx. This implies that du=2dx  and  v=e4x4.…

Q: 5x e°* dx

A: Given integration ∫e5x dx Use the integration formula, ∫eax dx=eaxa+C ∫e5x dx=e5x5+C Where C is a…

Q: 5X 100 e 2x 구 + x)dx 3 e3x

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Q: Evaluate Jcosx + 솔x)d a. b. (e* – 2x2 )dx

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Q: /E-1 t-1 t→1

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Q: Sx²e2*dx =

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Q: 4. S° e*x²dx

A: Integration by parts: ∫f.g dx=f∫g dx-∫dfdx.∫g dxdx Given integral is: I=∫0∞e-xx2dx Let us evaluate…

Q: 3 5. Sesx )dx e3x.

A: Solving the problem by finding the values of the integration.

Q: S(3x-17)e dx

A: We need to evaluate the value of given integral. We will use Integration by parts to solve the given…

Q: (e3x + 4) = 3ye 3x Зуе dx

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

Q: 10 1 d.x 9-x

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.