1 + x² · dx + x3 1 + x? dx (1 + x)³ 121. 122. [Vi+v 123. / Vr. Vi + Vx dx 124. /V1 + Vī + x dx + V1 – x² dx 125. dx J Vx• V1 + x 126. In x - dx x + x In x dx x• In x• In (In x) 128. 127. xłnx In x dx In (In x) ] dx 129. 130. (In x)ln x х х х dx dx xV1 – x4 131. 132. х

Q: Evaluate طرحة (Inx)³ X -dx

A:

Q: -8 dx

A:

Q: d/dx(51x)

A: ddx51x

Q: S 2 x3 dx

A: Given :∫-2x3dx

Q: L, x*e*** dx 3+1

A: 3.1) ∫-12x2e(x3+1)dx Let u=x3+1 du=3x2dx

Q: 2. [エ]dz -3

A:

Q: Show that In (x+ Vx? + 1) x2 x + Vx2 + 1 dx x + / 2v x² + 1 X + V x2 + v2 +1 + 1 Vx+ 1 x2 + 1

A: This is a derivative problem

Q: Integral of 2xln(1+x)

A: We will solve the integral.

Q: x* +2x³ +4x+4 dx Evaluate: x*+2x' + 2x?

A:

Q: 10. Evaluate: 0 x³ dx Ĵ 47 ₁(2-x²)²

A:

Q: intergral 4x^3(x^4+12)^17 dx

A: We are going to use integration by substitution method

Q: dx x(1+ln² x)

A: Given : ∫dx/x(1 + ln2x)      .....(1) Let ln x = t Differentiating both side w.r.t. x 1/x = dt/dx dt…

Q: 3-J (х* + 2х 3) dх

A:

Q: 6) Evaluate 0.8 1 0 dx 4x² +4

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Q: S dx b² +x4 - Evaluate

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Q: 1+ axdx

A:

Q: 2 1 dx (3+5x}

A:

Q: 7. (r +1)( + 4)

A: As per Bartley guidelines we are supposed to answer only one question per post. This post contains…

Q: Compute * sin x dx. x4 + 1 p.v.

A:

Q: 215tandx= Q2 2x+ 1

A: Given: 1) ∫tan-1xdx2) ∫2x3+1x4+2x+1dx

Q: 6(2tanx - x^4 + 4lnx)^1/4(2sec^2x - 4x^3 +4/x)dx. Hint: let u = 2 tanx - x^4 + 4lnx

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Q: 15. dx 16x* - 1

A:

Q: Antiderrivitive of: (3x2 + 2)/(0.3x3 + 0.6x)

A:

Q: x+3x+3 (XH) (x*+1)

A: Here we have to evaluate, I=∫x2+3x+3(x+1)(x2+1)dx using partial decomposition;