Exercise
$\int6x\cdot2^xdx$
Step-by-step Solution
Learn how to solve combining like terms problems step by step online. Find the integral int(6x*2^x)dx. The integral of a function times a constant (6) is equal to the constant times the integral of the function. We can solve the integral \int x2^xdx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du. Now, identify dv and calculate v.
Find the integral int(6x*2^x)dx
Final answer to the exercise
$\frac{6\cdot 2^x\cdot x}{\ln\left|2\right|}+\frac{-6\cdot 2^x}{\ln\left|2\right|^2}+C_0$