Test Index

NCERT Class XII Mathematics Chapter - - Solutions

Show Para  Hide Para 
Exercise - 7.2
Integrate the functions in Exercises 23 to 59.
© examsnet.com
Question : 26 of 271
Marks: +1, -0
sin⁡xsin⁡(cos⁡x)\sin x \sin(\cos x)
Solution:  
Let I=∫sin⁡xsin⁡(cos⁡x)dxI=\int \sin x \sin(\cos x)dx;
Put cos⁡x=t⇒−sin⁡xdx=dt\cos x = t \Rightarrow - \sin x dx = dt
∴I=−∫sin⁡tdt=cos⁡t+C\therefore I = -\int \sin t dt = \cos t + C =cos⁡(cos⁡x)+C= \cos(\cos x) + C
© examsnet.com
Go to Question:
Prev Question
Next Question
Advertisements