Sx²e* dx = %3D

Q: 4 dx x²

A: SolutionTo find∫24x3-4x2dxFormula∫xndx=xn+1n+1+C

Q: s cen x)" dx

A:

Q: Extra Credit. 13. Evaluate dx 1+x

A:

Q: Write an equation for the function graphed below. The y inte 5+ 4 3.

A: Introduction: Asymptotes are imaginary lines that are very close to a function's complete graph or a…

Q: (メ+4) dx x2 + 2x+5

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: S x'V4-x2 dx

A: This question can be solved by substituting x=sinθ

Q: S(x + 3)e*+6x dx

A:

Q: dx 7. S x3+4x2+8x

A: In this question we have to solve integration.

Q: 1 dx х x³Vx²

A: We have to integrate  ∫22 1x3x2-1 dx.

Q: Sx³ In x dx

A: ∫ x³ ln x dx Let us consider it as ∫ udv  Here u = ln x , dv = x³dx du = (1/x) dx  ∫ dv = ∫ x³dx  v…

Q: S(4x3 + 9x² + 4x – 1)dx -

A:

Q: 5) S dx X5V9X2-1

A:

Q: L(2x – e*)dx

A:

Q: 6. csch x dx

A: To find the integral of the given function.

Q: (#10) S V4x2+9 dx x4

A:

Q: 5x 4. S dx x2-6x+9

A:

Q: S(x5 + 10)®x*dx 4 X.

A:

Q: S (3K +8e -x) dx

A:

Q: S dx 2 x² + 10x +30

A:

Q: Sxe 2x dx

A: Integration by parts: ∫u·v dx = u·∫v dx - ∫ddxu·∫v dx dx   We have to evaluate ∫x e-2x dx.

Q: 6. f." e*dx

A:

Q: 5. S Vx In 2x dx

A: I= ∫x ln 2x dx   =∫ln 2x x ln 2x dx   = ln 2x∫ x  dx- ∫ddxln 2x∫x ldx dx   = ln 2x x3232 - ∫22x…

Q: .3 dx х2

A: To calculate the indefinite integral.

Q: L* Vx3 +1 dx

A:

Q: Sx(4x2 +3) dx

A: ∫x(4x2+3)6 dx Let t=4x2+3 dt=8x dx xdx=dt/8 We substitute the values in the given integral.

Q: d/dx (x^6 + ln(x) + 21)

A: given ddxx6+ln (x) +21

Q: -1 | In(-x)dx -7

A:

Q: 8. S(x³ + 2x² +x – 5)e2* dx -

A:

Q: S(2x3 + x)V2x² + 1 dx

A:

Q: S(3x* – 5xP +x=³)dx.

A: Given query is to find the integral.

Q: 3 d. S16 – 3x| dx 1

A: We have to solve given problem:

Q: e2x 9) S dx 25-e4x

A: To find the value of the given integral, first we use substitute e2x=t, then we use the integration…

Q: e-5x x dx

A:

Q: S 2x(ex²+1 – 2x*) dx

A:

Q: 2x dx x2 + 2x + 5

A:

Q: 8e4X dx S (x3+ e5x) dx

A:

Q: 2. S 2x5 Vx – 2 dx

A:

Q: 3X dx + 2e3x

A:

Q: 9. S 1 x√64+9x² =dx

A: The given integral,      ∫1x64+9x2dx

Q: 6. S2 dx 2 x+5

A:

Q: (2x-3)4 dx 10

A: Given:The integral is

Q: Sx(4x² + 3)°dx

A: Consider ∫x4x2+36dx, Take 4x2+3=u, 8xdx=duxdx=du8 So, ∫x4x2+36dx=∫u6du8

Q: htegrate S dx x²+25

A:

Q: S(3x2 – x) dx

A: Given integral is ∫3x2-xdx.

Q: dx s). S- x+4x+5

A:

Q: Sx v2x +1 dx

A: Indefinite integral: - The antiderivative of a function is the indefinite integral, which is the…

Q: S12x – 1|dx

A: Please refer the attached image for complete solution. THANK YOU.

Q: dx 3). S. x2+4x+5

A: