9. S sec³ x tan x dx

Q: 2x -x 2 x²-p²x¹ dx

A: Differentiation

Q: X V4X + dx

A: Substitution method helps us to solve the integration easily. ∫xndx = xn+1/(n+1)   +   c,  where c…

Q: 11. xyz dV, where G is the solid in the first octant that is bounded by the parabolic cylinder z = 2…

A: To evaluate the triple integral

Q: The joint density function of Y and Y2 is given by S91. v) = 30y,yž, y1 –1s y s 1- yı, 0 < yı < 1,…

A: From the given information, fy1,y2=30y1y22, y1-1≤y2≤1-y1, 0≤y1≤1 a. Consider, F12, 12=Py1≤12, y2≤12…

Q: x²e-x² dx #2³ J = Ji

A: Gamma function

Q: S(*-2:) (12x² -8) đx. (b) Integrate the expression of

A:

Q: x³y³dy у2— 4у-21 (x – x4y)dy + (y + x³y²)dx :

A: See the solution and follow the step.

Q: Y/9-2/5=1/3 Show also the checking

A: Solve and check the equation Y9-25=13.

Q: 1. Given x= 2t2+ 1, y= 3t : Find A = J ydx as a function of t by substituting for y and dx their…

A:

Q: 2x³-4x-8 2. S; dx (x²-x)(x²+4)

A: Topic:- integration

Q: sin(2x) cos(2x) dx 1+ cos(4x)

A: To evaluate: The integration of ∫sin2x·cos 2x1+cos 4xdx. Formula used: Trigonometric relation: 1+cos…

Q: V+ S₁₁ 275 (√5 - √55) 23 Si :) dy = 2-4

A:

Q: e sec(x+1)+ tan²(x)csc(x) dx

A: Integral ∫esecx+1 tan2x cosecx dx To evaluate given integral

Q: V = So 29 (3+2)(1-√5) dys

A:

Q: Compute the expected values using the given joint probability density function over the specified…

A:

Q: 7 0.08 =(30sina) 1 8. 7 (15 cosa, 2 15cosa)

A: Given, The projectile equation  0.08 = 30sinα715cosα-12g715cosα2 We have to find the value of α.

Q: C. Find Sx® In 3x dx using by Part techniques.

A: Here we will use the formula of integral by parts. Assume, f(x) = ln(3x) and g(x) = x^8 Formula will…

Q: sec+estnx dx secx

A:

Q: dx Q3 a. Evaluate the integral X - x

A:

Q: |x| dx 1–x²

A:

Q: Ssin(3x) sin(7x) dx

A:

Q: Please perform the integration with a complete solution

A: Given,