intsqrt(1+sin2x)dx...

`intsqrt(1+sin2x)dx`

Text Solution

Verified by Experts

`intsqrt(1+sin2x)dx`
=`intsqrt(sin^2x+cos^2x+2sinxcosx)dx`
=int`sqrt(sinx+cosx)^2dx`
=`int(cosx+sinx)dx`
=`sinx-cosx+C

Promotional Banner

Promotional Banner

Topper's Solved these Questions

Elements of Mathematics
MBD PUBLICATION|Exercise QUESTION BANK|48 Videos
INTRODUCTION TO THREE DIMENSIONAL GEOMETRY
MBD PUBLICATION|Exercise QUESTION BANK|40 Videos

MBD PUBLICATION-INTEGRATION-QUESTION BANK

int(sec^2x.cosec^2x)dx
Text Solution
|
int(asin^3x+bcos^3x)/(sin^2xcos^2x)dx
Text Solution
|
intsqrt(1+sin2x)dx
Text Solution
|
intsqrt(1-cos2x)dx
Text Solution
|
intsqrt(1+cos2x)dx
Text Solution
|
int(cos3xcos2x+sin3xsin2x)/(1-cos^2)dx
Text Solution
|
int(e^x+2)dx
Text Solution
|
int3^xdx
Text Solution
|
inta^(x+2)dx
Text Solution
|
inta^(3x)dx
Text Solution
|
int(e^(2x)+1)/e^xdx
Text Solution
|
int5/sqrt(1-x^2)+7/(1+x^2)dx
Text Solution
|
int(3x^2)/(x^2+1)dx
Text Solution
|
int(sqrt(1-x^2)+x^2/sqrt(1-x^2))dx
Text Solution
|
int(x^2+sqrt(x^2-1))/(x^3sqrt(x^2-1))dx
Text Solution
|
Find the unique antiderivative F(x) of f(x)=2x^2+1, whese F(o)=-2.
Text Solution
|
Integrate the following intsin3xdx
Text Solution
|
Integrate the following intcosaxdx
Text Solution
|
Integrate the following intcos(2-7x)dx
Text Solution
|
Integrate the following intsin(x/2)dx
Text Solution
|