Home
Class 12
MATHS
Evaluate: (i) int(3x+1)/((3x^2+2x+1)^3)\...

Evaluate: (i) `int(3x+1)/((3x^2+2x+1)^3)\ dx` (ii) `intsin^3xcosx\ dx`

Text Solution

Verified by Experts

(i) `Let, 3 x^{2}+2 x+1=t`
`Rightarrow (6 x+2) dx=dt`
`Rightarrow 2(3 x+1) dx=dt`
So, given equation becomes,
...
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: int(3x-1)/((x+2)^(2))dx

Find intsin^3x cos (x/2) dx

Evaluate: (i) int(1)/(sin^(3)x cos^(5)x)dx (ii) int(1)/(sin^(3)x cos x)dx

evaluate int(3x-1)/(x^(2)-1)dx

Evaluate int (3x-1)/((x-2)^(2))dx

Evaluate: int(1)/(x^(4)+3x^(2)+1)dx

Evaluate int(3x)/((x-2)(x+1))dx

Evaluate: int(3x)/(1+2x^4)dx

Evaluate int(3x)/((1+2x^(4)))dx .

Evaluate: (i) int1/(sqrt(x(1-2x)))\ dx (ii) int1/(sqrt(2x^2+3x-2))\ dx