2х+х+6х-5=9х-5=9*10-5=85
Пошаговое объяснение:
10.28 . ∫ dx/e²ˣ⁻¹ = ∫ e⁻²ˣ⁺¹ dx = - 1/2 * e⁻²ˣ⁺¹ + C .
10.29 . ∫ ⁵√( 3x + 2 )dx = ∫ ( 3x + 2 )^( 1/5 )dx = 6/5 *1/3 *( 3x + 2 )^( 6/5 ) +
+ C = 0,4 ⁵√( 3x + 2 )⁶ + C = 0,4 ( 3x + 2 )⁵√( 3x + 2 ) + C .
10.30 . ∫ dx/( 4x + 3 )⁵ = ∫ ( 4x + 3 )⁻⁵dx = ( 4x + 3 )⁻⁴/( - 4 ) * 1/4 + C =
= - 1/16( 4x + 3 )⁴ + C .
10.31 . ∫ dx/( 3x + 1 ) = 1/3 * ln | 3x + 1 | + C .
10.32 . ∫ dx/√ ( 2 - x ) = - 1/1 * ( 2 - x )^( 1/2 ) : ( 1/2) = - 2 √( 2 - x ) + C .
10.33 . ∫ dx/√ ( x² + 2 ) = ∫ d ( x² + 2 )/2√( x² + 2 ) = 1/2 ∫( x² + 2 )^(- 1/2 ) x
x d ( x² + 2 ) = 1/2 * 2√( x² + 2 ) + C = √( x² + 2 ) + C
2х+х+6х+5=9х-5;
при х=10;9*10-5=85