Evaluate the integrals int0pi/2(sinx)/(1...

Evaluate the integrals `int0pi/2(sinx)/(1+cos^2x)dx`

Verified by Experts

The correct Answer is:

`(pi)/(4)`

INTEGRATION
NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7p|40 Videos
INTEGRATION
NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7q|8 Videos
INTEGRATION
NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7n|32 Videos
DIFFERENTIAL EQUATIONS
NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|18 Videos
INVERES TRIGONOMETRIC FUNCTIONS
NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise (prove That )|9 Videos

Similar Questions

Explore conceptually related problems

Find the integral int(2-3sinx)/(cos^2x)dx

By using the properties of definite integrals, evaluate the integrals int_0^(pi/2) cos^2x dx

int_(0)^(pi/2) (sinx)/(1+cos^(2)x)dx

By using the properties of definite integrals, evaluate the integrals int_0^(pi/2) (sinx-cosx)/(1+sinxcosx)dx

By using the properties of definite integrals, evaluate the integrals int0pi/2(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx))dx

By using the properties of definite integrals, evaluate the integrals int0pi/2(cos^5x dx)/(sin^5+cos^5x)

Evaluate the definite integrals int_0^(pi/2)(cos^2x dx)/(cos^2x+4sin^2x)

Evaluate the definite integrals int_0^(pi/2)cos^2x""""dx

Evaluate the following integral: int_0^(pi//2)(cos^2x)/(sinx+cos x)dx

Evaluate the following integral: int_0^(pi//2)(cos^2x)/(1+3sin^2x)dx

Evaluate the following integral: int1^3(cos(logx))/x dx
Text Solution
|
int(0)^(a) (x)/(sqrt(a^(2)-x^(2)))dx
Text Solution
|
Evaluate the integrals int0pi/2(sinx)/(1+cos^2x)dx
Text Solution
|
int(0)^(pi//2) sin^(2) x cos ^(2) x dx
Text Solution
|
int(0)^(pi//4) cot x. " cosec"^(2) x dx
Text Solution
|
int(0)^(pi//2) (dx)/(4sin^(2) x + 5 cos^(2)x)
Text Solution
|
Evaluate int(0)^(1)(dx)/(e^(x)+e^(-x))
Text Solution
|
int(1//e)^(e) (dx)/(x(log x)^(1//3))
Text Solution
|
int(1)^(2) (dx)/(x(1+log x)^(2))
Text Solution
|
int(pi//6)^(pi//2) (" cosec x cot x")/(1+" cosec "^(2) x)dx
Text Solution
|
What is ∫ln(x)/x^2 dx ?
Text Solution
|
int((x sin^(-1)x)/(sqrt(1-x)^(2)))dx
Text Solution
|
int(0)^(2) (e^(-1//x))/(x^(2)) dx
Text Solution
|
int(1)^(2) (x)/(sqrt(1+2x^(2)))dx
Text Solution
|
int(-1)^(2) (x) /((x^(2)+1)^(2))dx
Text Solution
|
Find : int0^(1/(sqrt(2)))(sin^(-1)x)/((1-x^2)^(3/2))dx
Text Solution
|
int(0)^(pi) (1)/(5+2 cos x)dx
Text Solution
|
int(0)^(pi//2) e^(x) (sin x + cos x) dx
Text Solution
|
int(0)^(pi) x sin^(2) x dx
Text Solution
|
Evaluate : (i) underset(0)overset(1)intsin^(-1)xdx , (ii) underset(1...
Text Solution
|