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

Evaluate: (i) `int(sinx)/(1+cos^2x)\ dx` (ii) `int(2x^3)/(4+x^8)\ dx`

Text Solution

Verified by Experts

(i) It is given that
`int frac{sin x}{(1+cos ^{2} x)} d x`
Take `y=cos x`
So we get
`d y=-sin x d x`
By substituting this in the equation
...
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 : (i) int(sin4x)/(cos2x)dx (ii) int(sin4x)/(sinx)dx

Evaluate: (i) int(2)/(1+cos2x)dx (ii) int(2)/(1-cos2x)dx

Evaluate: (i) int(1)/(1+cos2x)dx (ii) int(1)/(1-cos2x)dx

Evaluate: (i) int(sin4x)/(sin2x)dx( ii) int(sin4x)/(cos2x)dx

int(sinx.cos^3x)/(1+cos^2x)dx

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

Evaluate: (i) int1/(sqrt((2-x)^2-1))\ dx (ii) int(x^4+1)/(x^2+1)\ dx

Evaluate : (i) int(sinx)/((1-4cos^(2)x))dx (ii) int("cosec"^(2)x)/((1-cot^(2)x))dx

Evaluate: (i) int(1-sin x)/(x+cos x)dx (ii) int(a)/(b+ce^(x))dx

Evaluate: (i) int(1)/(1-cos x)dx( ii) int(1)/(1-sin x)dx