Bài tập Toán INTEGRATION 03

Created by T Madas Question Integrate the following expressions with respect to x a) ∫ b) ∫ 2   −  dx x  x 4x  c) ∫ 7  4x  −  dx x x 48 x − x + C d) ∫ 5  x  + x  dx x  20 x + x + C e) ∫ x ( ) x + x −4 dx  x3 − x   dx   x   x x − x −2 + C −4 x − 12 +1x − 32 +C 7 x − x 12 + C Created by T Madas Created by T Madas Question Integrate the following expressions with respect to x a) ∫ ( ∫ ∫ ( x − 1)( x − 3) dx 2x 1+ x b) c) d) e) ∫ 32 −1 x − x − 3x + C ) x3 −3 − x −2 − x − x −1 + C dx 2x3 + x3 dx x 72 x + x +C (1 + x )(3 − x ) dx −5 − x −3 − x + x −2 + C ∫ x4  x 12 + x − 12   x 32 − x − 12        dx 3x5 1 − x −2 + x −4 − x −3 + x −5 + C 3 15 Created by T Madas Created by T Madas Question Evaluate the following integrals a) ∫ ∫ ∫ ∫ b) dx x x3 + + c) 3x − − d) x2 x2 dx 21 dx x + dx x2 2 e) ∫ ( x − )( x − ) dx Created by T Madas