erweitern sin(x)(1-sec(x))(1+x^2)

Lösung

erweitern

sin (x) (1 - sec (x)) (1 + x^{2})

x^{2} sin (x) - x^{2} tan (x) + sin (x) - tan (x)

Schritte zur Lösung

sin (x) (1 - sec (x)) (1 + x^{2})

Schreibe

sin (x) (1 - sec (x)) (1 + x^{2})

um:

sin (x) (1 + x^{2} - sec (x) - x^{2} sec (x))

= sin (x) (1 + x^{2} - sec (x) - x^{2} sec (x))

Setze Klammern

= sin (x) \cdot 1 + sin (x) x^{2} + sin (x) (- sec (x)) + sin (x) (- x^{2} sec (x))

Vereinfache

sin (x) \cdot 1 + sin (x) x^{2} + sin (x) (- sec (x)) + sin (x) (- x^{2} sec (x)) : x^{2} sin (x) - x^{2} tan (x) + sin (x) - tan (x)

= x^{2} sin (x) - x^{2} tan (x) + sin (x) - tan (x)

e x p an d (30 i - 78 j) (\frac{3}{5} i + \frac{4}{5} j)

e x p an d \frac{( ( 0.1 + x ) ( x ) ( 0.1 + 3 x ) )}{( ( 0.1 - x ) )}

e x p an d - x \cdot (8 x^{2} + 1)

e x p an d (x^{2} + 2 x) sin (x)

e x p an d \frac{1}{( s ^{2} + 2 s + 2 ) ^{2}}