Home
Class 12
MATHS
Evaluate: int1/(x^2)cos^2(1/x)dx...

Evaluate: `int1/(x^2)cos^2(1/x)dx`

Text Solution

Verified by Experts

We have given,
`int1/(x^2)cos^2(1/x)dx`
Let `{t}=frac{1}{{x}} `
`implies {dt}=-frac{1}{{x}^{2}} {dx} cdots(1)`
`int frac{1}{{x}^{2}} cos ^{2}(frac{1}{{x}}) {dx}` ` =int cos ^{2}(frac{1}{{x}}) times frac{1}{{x}^{2}} {dx} `
`=int cos ^{2} {t} times(-{dt}) ldots ` {from}(1)
...
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(1)/(3+2cos^(2)x)dx

Evaluate : int(1)/(x^(2)"cos"^(2)((1)/(x)))dx

Evaluate: (i) int(1)/(x^(2))cos^(2)((1)/(x))dx (ii) int sec^(4)x tan xdx

Evaluate: int(1)/(sin x(2cos^(2)x-1))dx

Evaluate: int1/(sinx(2cos^(2)x-1))dx

Evaluate: int1/(sqrt (1-x^2)cos^-1x)dx

Evaluate: int(1)/(sin^(2)x cos^(2)x)dx

Evaluate: int1/(x^2sqrt(1+x^2))\ dx

Evaluate int (x^(2)-cos x+(1)/(x))dx

Evaluate: int1/(4sin^2x+5cos^2x)\ dx