Evaluate thl integraus in H3) dx (44) dx dx 17 +x? 45

Q: 2x dx e2* +3e" +2 5.

A: To solve this integral, a substitution of is taken. Then it is differentiated to find the value of…

Q: 04 * O O Evaluate -1+2x-2x^2 -1+2x+2x^2 -1-2x-2x^2 -1-2x+2x^2 d dx 1-x fe 1² dt).

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Q: dx Vx+2

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Q: 3dy dx3 +5ª²y _ 2 dy = 0 dx2 dx

A: Follow next step

Q: Integrate S (2x+1) Staz+X+4) dx

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Q: e2 6. - dx -Find 1

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Q: (ど4ー) 2dx 4 X(3(Inx)*+121nx-15)2 2)

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Q: -| Vx³ + 16x² dx

A: Let I=∫x3+16x2 dx I=∫xx+16 dx Let assume x+16=t2⇒dx=2t dt I=∫(t2-16)t(2t) dt =2∫(t4-16t2)dt

Q: 6) Evaluate 0.8 1 0 dx 4x² +4

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Q: Evaluate f, f,(1-2) L(-dy dx dz

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Q: [1,0) dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 8. f sec² (3x - 1) dx

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Q: Find x³ n* d

A: Integration by Parts: The rule of integration by parts is used to integrate the product of two…

Q: 1 dx 5x² – 3 Find |

A: ∫1x5x2-3dx

Q: Ql Find se dx |

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Q: r(4) r (3.5) ア - x * 」

A: We will solve the problem using GAMMA FUNCTION.

Q: dx 3 -1 (4-x²)7

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Q: Find / 5x dx

A: ∫Axndx =A(xn+1n+1)+C, where C is integration constant.

Q: . Evaluate S (-+ 3e* ) dx

A: We have to Evaluate  ∫ {(1/√x) - (2/x) + 3ex} dx = ∫(1/√x) dx - 2 ∫(1/x) dx + 3 ∫ex dx

Q: 4x2-5х+6, 3. S(*-*+*)d *“)dx x2

A: We have two types of integrals in general, namely definite and indefinite integrals . The definite…

Q: 2. Use Theorem 4 to evaluate (3x +2x2) dx

A: Given ∫01 (3x+2x2)We know that ∫xn=xn+1n+1+C

Q: Lion 1-y If x = Show that 1+y dy V1-y

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Q: dr(sec'x) dx

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Q: Evaluate: [(5x* - 2х* + 3х - 4)dx

A: Evaluating the integral

Q: Differentiate, hcx) = In (x-Vr

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Q: 1. * dx a <-I 94 dx, a<o

A: (1).  The given integral is: I=∫1∞ xa dx  ;           a&lt;-1