Level:
Project ID:
1003107902
Accepted:
1
Solve the indefinite integral
\[ \int\left(ab\mathrm{e}^c-bx^2+5^b-\sin c \right)\mathrm{d}x \]
of a real-valued function, where \( a \), \( b \), \( c \) are real numbers.
\( ab\mathrm{e}^c x-b\frac{x^3}3+5^b x-x \sin c+k \), \( k\in\mathbb{R} \)
\( -b\frac{x^3}3+k \), \( k\in\mathbb{R} \)
\( ab\mathrm{e}^c-2b+5^b-\sin c+k \), \( k\in\mathbb{R} \)
\( ab\mathrm{e}^c x-2bx+5^b x-x \sin c+k \), \( k\in\mathbb{R} \)