Home
Class 12
MATHS
Evaluate the following integrals : int(3...

Evaluate the following integrals : `int(3x+4)^2dx`

Text Solution

Verified by Experts

`int(3x+4)^2dx`
We know that `int (ax+b)^n dx=frac{1}{a(n+1)}(ax+b)^(n+1)`
`=1/(3 xx(2+1))(3x+4)^(2+1)+C`
`=1/9(3x+4)^3+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 the following integrals int (3x-1)/(4x^(2)-4x+17)dx

Evaluate the following integral: int_(-4)^4|x+2|dx

Evaluate the following integrals : int x^(-3//2)dx (a and b are constant)

Evaluate the following integrals: int(2-3x)(3+2x)(1-2x)dx

Evaluate the following integrals. int (x^(2) + 3x^(2) + 4)/(sqrt(x))dx

Evaluate the following integrals: int(3x sqrt(x)+4sqrt(x)+5)dx

Evaluate the following Integrals : int ((x+2)dx)/((x^(2)+3x+3)sqrt(x+1))

Evaluate the following integrals int (x dx)/(9-16x^(4))

Evaluate the following integrals: int_(0)^(1)(24x^(3))/((1+x^(2))^(4))dx

Evaluate the following integrals: int_(0)^(2)|x^(2)-3x+2|dx