integral of 3x^2+2x

الحلّ

\int 3 x^{2} + 2 x d x

x^{3} + x^{2} + C

خطوات الحلّ

\int 3 x^{2} + 2 x d x

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

:فعّل الميزة الخطيّة

= \int 3 x^{2} d x + \int 2 x d x

\int 3 x^{2} d x = x^{3}

\int 2 x d x = x^{2}

= x^{3} + x^{2}

أضف ثابت التكامل للحل

= x^{3} + x^{2} + C

x \to 2 lim (x^{3} - 5 x)

x \to - 6 + lim (x + 6)

\int \frac{1}{cos ( x ) + cos ^{2} ( x )} d x

\frac{\partial}{\partial z} (ln (1 + x y) - z)