[" 1.I valuate the followit "],[[" a) "((4)/(7))^(2)times((4)/(7))^(2)," (年) "]]

valuate the following integrals: int_(0)^( pi)x sin^(2)xdx

E valuate the integration int_(0)^((pi)/(2))sin^(3)x cos^(2)xdx

i+i^(2)+i^(3)+i^(4)

Find the value of (i^(6)+i^(7)+i^(8)+i^(9))/(i^(2)+i^(3))

Write the following in the form x+iy: (i) i+i^(2)+i^(3)+i^(4) (ii) i^(4)+i^(8)+i^(12)+i^(16) (iii) i+i^(5)+i^(9)+i^(13) (iv) i^(9)+i^(10)+i^(11)+i^(12) .

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the value of ((i^(11)+i^(12)+i^(13)+i^(14) +i^(15)))/((1+i)) is

the value of ((i^(11)+i^(12)+i^(13)+i^(14) +i^(15)))/((1+i)) is

Find the values of following expressions: i^(49)+i^(68)+i^(89)+i^(110) (ii) i^(30)+i^(80)+i^(120) (iii) i^+i^2+i^3+i^4 (iv) i^5+i^(10)+i^(15) (v) (i^(592)+i^(590)+i^(586)+i^(584))/(i^(582)+i^(580)+i^(576)+i^(574)) (vi) 1+i^2+i^4+i^6+i^8+doti^(20) (vii) (1+i)^6+(1-i)^3

Arrange the following compounds in increasing order of basicity : 1) (P) (Q) (Q) (Q) (Q) ( (I) (I) (I) (I) (I) (I) (I) (I) (I) (I) (I) (I) (I) (I) (I) (I) (I) (I)