Page 1 1 / 2 1 C B S E C l a s s – 1 0 M a t h e m a t i c s N C E R T s o l u t i o n C h a p t e r - 7 I n t e g r a l s - E x e r c i s e 7 . 3 F i n d t h e i n t e g r a l s o f t h e f o l l o w i n g f u n c t i o n s i n E x e r c i s e s 1 t o 9 . 1 . A n s . = U s i n g = = U s i n g = A n s . 2 . A n s . = = U s i n g 2 s i n B c o s A = s i n ( A + B ) - s i n ( A - B ) Page 2 1 / 2 1 C B S E C l a s s – 1 0 M a t h e m a t i c s N C E R T s o l u t i o n C h a p t e r - 7 I n t e g r a l s - E x e r c i s e 7 . 3 F i n d t h e i n t e g r a l s o f t h e f o l l o w i n g f u n c t i o n s i n E x e r c i s e s 1 t o 9 . 1 . A n s . = U s i n g = = U s i n g = A n s . 2 . A n s . = = U s i n g 2 s i n B c o s A = s i n ( A + B ) - s i n ( A - B ) 2 / 2 1 = = = = A n s . 3 . A n s . = = U s i n g 2 c o s A c o s B = c o s ( A + B ) + c o s ( A - B ) = = = U s i n g 2 c o s A c o s B = c o s ( A + B ) + c o s ( A - B ) a n d = Page 3 1 / 2 1 C B S E C l a s s – 1 0 M a t h e m a t i c s N C E R T s o l u t i o n C h a p t e r - 7 I n t e g r a l s - E x e r c i s e 7 . 3 F i n d t h e i n t e g r a l s o f t h e f o l l o w i n g f u n c t i o n s i n E x e r c i s e s 1 t o 9 . 1 . A n s . = U s i n g = = U s i n g = A n s . 2 . A n s . = = U s i n g 2 s i n B c o s A = s i n ( A + B ) - s i n ( A - B ) 2 / 2 1 = = = = A n s . 3 . A n s . = = U s i n g 2 c o s A c o s B = c o s ( A + B ) + c o s ( A - B ) = = = U s i n g 2 c o s A c o s B = c o s ( A + B ) + c o s ( A - B ) a n d = 3 / 2 1 = A n s . 4 . A n s . = = = = = A n o t h e r M e t h o d U s i n g l e t t h e r e f o r e Page 4 1 / 2 1 C B S E C l a s s – 1 0 M a t h e m a t i c s N C E R T s o l u t i o n C h a p t e r - 7 I n t e g r a l s - E x e r c i s e 7 . 3 F i n d t h e i n t e g r a l s o f t h e f o l l o w i n g f u n c t i o n s i n E x e r c i s e s 1 t o 9 . 1 . A n s . = U s i n g = = U s i n g = A n s . 2 . A n s . = = U s i n g 2 s i n B c o s A = s i n ( A + B ) - s i n ( A - B ) 2 / 2 1 = = = = A n s . 3 . A n s . = = U s i n g 2 c o s A c o s B = c o s ( A + B ) + c o s ( A - B ) = = = U s i n g 2 c o s A c o s B = c o s ( A + B ) + c o s ( A - B ) a n d = 3 / 2 1 = A n s . 4 . A n s . = = = = = A n o t h e r M e t h o d U s i n g l e t t h e r e f o r e 4 / 2 1 t h u s A n s 5 . A n s . = = = = = = = = Page 5 1 / 2 1 C B S E C l a s s – 1 0 M a t h e m a t i c s N C E R T s o l u t i o n C h a p t e r - 7 I n t e g r a l s - E x e r c i s e 7 . 3 F i n d t h e i n t e g r a l s o f t h e f o l l o w i n g f u n c t i o n s i n E x e r c i s e s 1 t o 9 . 1 . A n s . = U s i n g = = U s i n g = A n s . 2 . A n s . = = U s i n g 2 s i n B c o s A = s i n ( A + B ) - s i n ( A - B ) 2 / 2 1 = = = = A n s . 3 . A n s . = = U s i n g 2 c o s A c o s B = c o s ( A + B ) + c o s ( A - B ) = = = U s i n g 2 c o s A c o s B = c o s ( A + B ) + c o s ( A - B ) a n d = 3 / 2 1 = A n s . 4 . A n s . = = = = = A n o t h e r M e t h o d U s i n g l e t t h e r e f o r e 4 / 2 1 t h u s A n s 5 . A n s . = = = = = = = = 5 / 2 1 A n o t h e r m e t h o d l e t I = l e t c o s x = t - s i n x d x = d t s i n x d x = - d t a n s . 6 . A n s . = = U s i n g 2 s i n A s i n B = c o s ( A - B ) - c o s ( A + B ) = u s i n g 2 c o s A s i n B = s i n ( A + B ) - s i n ( A - B )Read More