Home
Class 12
MATHS
int (x^(6) -(1)/(x) +e^(x) +3)dx...

`int (x^(6) -(1)/(x) +e^(x) +3)dx`

Text Solution

Verified by Experts

The correct Answer is:
`(x^(7))/(7)-log x+e^(x) +3x +c`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7c|23 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7d|38 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Exercise 7a|14 Videos
  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|18 Videos
  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise (prove That )|9 Videos

Similar Questions

Explore conceptually related problems

int (4e^(3x) +1)dx

Evaluate: int e^(x)(x-1)/((x+1)^(3))dx

Knowledge Check

  • The value of int (x^(e-1)+e^(x-1)/(x^6+e^x) dx is equal to

    A
    x+C
    B
    `log(x+e)+C`
    C
    `log(e^x+x^e)+C`
    D
    `log (x^3+e^x)^(1/e)+C`
  • int_(0)^(1) (dx)/(e^(x) +e^(-x)) dx is equal to

    A
    `pi//4`
    B
    `tan^(-1)e-(pi)/(4)`
    C
    `tan^(-1)e`
    D
    `(pi)/(4)tan^(-1)e`
  • Similar Questions

    Explore conceptually related problems

    Evaluate: int(e^(x)+1)/(e^(x)+x)dx

    int(e^((1)/(x)))/(x^(3))dx

    Ecaluate the following: (i) int(sec^(2)x)/(3+tanx)dx " (ii) " int(e^(x)-e^(-x))/(e^(x)+e^(-x))dx (iii) int(1-tanx)/(1+tanx)dx " (iv) " int(1)/(1+e^(-x))dx

    int(3e^(x)-4)/(e^(x)+1)dx=

    int(e^(x)+(1)/(x)+2x^(2)+3)dx

    (i) int (e^(x) .(1-x))/(x^(2))dx (ii) int ((1+sin x)/(1+cos x))e^(x) dx