Home
Class 11
PHYSICS
Evaluated : (i) intx^(7)d, (ii) intx^(...

Evaluated :
(i) `intx^(7)d`, (ii) `intx^(-7)dx` , (iii) `intx^(-1)dx`
(iv) `intx^(5//3)`, (v) `intx^(-5//4) dx` , (vi) `int2^(x) dx`
(vii) `int3sqrt(x^(2))dx` , (vii) `int(1)/(4sqrt(x^(3))) dx` , (ix) `int 2/(x^(2))dx`

Text Solution

Verified by Experts

Using theorem 1. Here `n=7`
`intx^(7)dx=(x^(7+1))/(7+1)=(x^(8))/(8).`
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL TOOLS

    MODERN PUBLICATION|Exercise PRACTICE PROBLEMS (1)|3 Videos
  • MATHEMATICAL TOOLS

    MODERN PUBLICATION|Exercise PRACTICE PROBLEMS (2)|7 Videos
  • GRAVITATION

    MODERN PUBLICATION|Exercise Chapter Practice Test|15 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    MODERN PUBLICATION|Exercise Chapter Practise Test|16 Videos

Similar Questions

Explore conceptually related problems

intx/(3-x^(2))dx

intx/sqrt(1-x^(2))dx

intx^(2)/sqrt(x^(3)+1)dx

Evaluate : (i) intx^(9)dx , (ii) int3sqrt(x) dx ,(iii) intdx (iv) int1/(x^(2))dx , (v) int(1)/(x^(1//3))dx , (vi) int5^(x) dx

intx^(5)/sqrt(1+x^(3))dx=

=intx^4/(sqrt(1-x^(5)))dx

intx/sqrt(x^(4)-4)dx=

intx/(x^(4)-1)dx=

intx^5/sqrt(1+x^2)dx

intx/sqrt(x^2+x+1)dx