Evaluate : 3√−512343
3√−512343=3√−5123√343=3√−1×512343=3√(−1)×(−1)×(−1)ׯ¯¯¯¯¯¯¯¯¯¯¯¯¯2×2×2ׯ¯¯¯¯¯¯¯¯¯¯¯¯¯2×2×2ׯ¯¯¯¯¯¯¯¯¯¯¯¯¯2×2×23√7×7×7=3√(−1)3×23×23×233√73=−1×2×2×27=−87
Evaluate : ∫x3(x−1)(x2+1)dx.
OR
Evaluate ∫sin x−x cos xx(x+sin x) dx.
Evaluate : ∫π0x tanxsec x+tan xdx. OR Evaluate : ∫41 {|x-1|+|x-2|+|x-4|}dx.
Evaluate: ∫π20sin2xsinx+cosxdx.
Evaluate: ∫2−1(e3x+7x−5)dx as a limit of sums.
Evaluate :(i) (2−3×54)+(59×3−10)(ii) (2×14)−(−187×−715)(iii) (−5×215)−(−6×29)(iv) (85×−32)+(−310×916)