Important Questions [11]
- Show that ∫ a 0 √ X 3 a 3 − X 3 D X = a √ X γ ( 5 6 ) γ ( 1 3 )
- Change the Order of Integration and Evaluate ∫ 1 0 ∫ √ 2 − X 2 X D X D Y X √ X 2 + Y 2
- Evaluate ∫ 1 0 √ √ X − X D X
- Find the Value of the Integral ∫ 1 0 X 2 1 + X 3 𝒅𝒙 Using Trapezoidal Rule
- Compute the Value of ∫ π 2 0 √ Sin X + Cos X D X Usingtrapezoidal Rule by Dividing into Six Subintervals.
- Compute the Value of ∫ π 2 0 √ Sin X + Cos X D X Using Simpson’S (1/3)Rd Rule by Dividing into Six Subintervals.
- Find the Value of the Integral ∫ 1 0 X 2 1 + X 3 𝒅𝒙 Using Simpson’S (1/3)𝒕𝒉 Rule.
- Compute the Value of ∫ π 2 0 √ Sin X + Cos X D X Using Simpson’S (3/8)Th Rule by Dividing into Six Subintervals.
- Find the Value of the Integral ∫ 1 0 X 2 1 + X 3 𝒅𝒙 Using Simpson’S (𝟑/𝟖)𝒕𝒉 Rule.
- Find the Perimeter of the Curve R=A(1-cos 𝜽)
- Show that the Length of Curve 9 a Y 2 = X ( X − 3 a ) 2 is 4 √ 3 a
