Exercise
$\int6\left(x^5+5^x+5x+5\right)dx$
Step-by-step Solution
Learn how to solve special products problems step by step online. Find the integral int(6(x^5+5^x5x+5))dx. Rewrite the integrand 6\left(x^5+5^x+5x+5\right) in expanded form. Expand the integral \int\left(6x^5+6\cdot 5^x+30x+30\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int6x^5dx results in: x^{6}. The integral \int6\cdot 5^xdx results in: \frac{6\cdot 5^x}{\ln\left(5\right)}.
Find the integral int(6(x^5+5^x5x+5))dx
Final answer to the exercise
$x^{6}+\frac{6\cdot 5^x}{\ln\left|5\right|}+15x^2+30x+C_0$