Home
Class 12
MATHS
Evaluate each of the following integrals...

Evaluate each of the following integrals: `intx^4dx` (ii) `intx^(5/4)dx` `int1/(x^5)dx`

Text Solution

Verified by Experts

I)I=`intx^4dx`
I=`x^5/5+c`
ii)I=`intx^(5/4)dx`
=`x^(5/4+1)/(5/4+1)`
=`4/9x^(9/4)+c`
iii)`int1/(x^5)dx`
=`x^(-5)dx+c`
=`-1/4x^(-4)+c`
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos

  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

Evaluate each of the following integrals: int x^(4)dx( ii) int x^(5/4)dx (iii) int(1)/(x^(5))dx( iv )int(1)/(x^(3)/2)dx

Evaluate the following integrals: intxe^(x)dx

Evaluate the following integrals: intxe^(2x)dx

Evaluate the following integrals: intx^(2)e^(x)dx

Evaluate the following integrals: intx^(2)e^(3x)dx

Evaluate the following integrals: int x^(4)dx( ii) int sqrt(x)dx

Evaluate each of the following integral: int_0^picos^5x\ dx

Obtain the following integrals : (i) intx^(15)dx

Obtain the following integrals : (iii) intx^(1//2)dx

intx^(5/3)dx = ?