d [x² +1] dx x4 d dx -[(x² + 1)5⁰]

Q: State the equivalents to (1/x+3) - (2/5x+1)

A:

Q: Find the intersection points of the parabola above and the line -x+y=-4.

A: Given equation of parabola and the line are as below.

Q: 2 - (4x² – 8x5)(x³ – x6)-8)dx 4х-1

A: Given an integral : I=∫2(4x-1)-4x2-8x5(x3-x6)-8 dx We need to find the integral. Let's begin.

Q: 5**+2x (2x3 +1)dx *(2x3+1)dx

A: Use the following formulas 1.∫ axln xdx=axln a+c2. ddxxn=nxn-1

Q: ∫x2(x3-1)11dx

A: Given, ∫x2(x3-1)11dx We can solve it by substitution method

Q: 30x4-6/x3-13x X2 dx

A: We first write the integrand using…

Q: 3x + 10 dx x² + 2x + 5

A:

Q: -1/5 x -1 2/4

A: Given equation is

Q: dx x²Vx? - 4) (x)

A: By substitution method, solve the integration. Put x = 2sec(theta)

Q: X Find | dx x²+8x+12

A:

Q: 2.-1 fx(1 + x²³)¯¯¹dx 88

A: Given that ∫-∞∞x(1+x2)-1dx

Q: find the constant term of (2x² + 1/x)⁹

A: find the constant term of (2x² + 1/x)⁹

Q: Find the derivitive and show each step f(x) = 5/ (2x-3)^4 y = -6e^12x

A:

Q: 2 x 4/7

A: The correct answer is as below:

Q: X/6-1/3=1/2

A:

Q: 480 62 (2x)/ 14 (3y) 26 a = 16

A: From the image : 3y=48°22x°=360°-220°a=14And,2b=16.

Q: 1/3 x 3 + 7

A: Using bodmas  First bracket then division then multiplication

Q: dx (4x?- 9) 3½

A:

Q: d (cosh x) dx Vx2

A:

Q: (1-3x)/4)=(x+6/3)+1/2

A: LCM of 4,3,2 is = 12We multiply both side by 12 and distribute.

Q: 3x /5• (5/x - 5/2x)

A: Given function:

Q: 7x - 4 3 – – 4x 4x² dx

A:

Q: 2 4 E (x² + 2)V4 – x² dx 3

A: Let's find.

Q: (7x)x = 7(x * x) = 7x2

A: Given, (7x)x

Q: Find two First terms whose product is 8x. 10x 3三 (8x )(x &x2 10x 3三 (4x )(2x

A: Given  8x2-10x-3 To find two terms whose product is 8x2.