Exercise
$\int\:\frac{4-x^3}{e^x}\:dx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int((4-x^3)/(e^x))dx. Expand the fraction \frac{4-x^3}{e^x} into 2 simpler fractions with common denominator e^x. Simplify the expression. The integral \int\frac{4}{e^x}dx results in: -4e^{-x}. The integral -\int\frac{x^3}{e^x}dx results in: \frac{x^3}{e^x}+\frac{3x^{2}}{e^x}+\frac{6x}{e^x}+\frac{6}{e^x}.
Find the integral int((4-x^3)/(e^x))dx
Final answer to the exercise
$-4e^{-x}+\frac{6}{e^x}+\frac{6x}{e^x}+\frac{3x^{2}}{e^x}+\frac{x^3}{e^x}+C_0$