Final answer to the problem
$\frac{3}{4}x^{4}\left(6x^5-7x^4-11x+6\right)+4x^{3}\left(6x^5-7x^4-11x+6\right)+\frac{9}{2}x^2\left(6x^5-7x^4-11x+6\right)-7x\left(6x^5-7x^4-11x+6\right)-\frac{77}{2}x^2+\frac{33}{2}x^{3}+11x^{4}-37.55x^{5}+56x^{6}-\frac{23}{7}x^{7}-\frac{99}{8}x^{8}-\frac{5}{2}x^{9}+C_0$
Got another answer? Verify it here!
Step-by-step Solution
Specify the solving method
1
Find the integral
$\int\left(6x^5-7x^4-11x+6\right)\left(3x^3+12x^2+9x-7\right)dx$
Learn how to solve problems step by step online.
$\int\left(6x^5-7x^4-11x+6\right)\left(3x^3+12x^2+9x-7\right)dx$
Learn how to solve problems step by step online. Simplify the expression f(x)=(6x^5-7x^4-11x+6)(3x^3+12x^29x+-7). Find the integral. We can solve the integral \int\left(6x^5-7x^4-11x+6\right)\left(3x^3+12x^2+9x-7\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du. Now, identify dv and calculate v.
Final answer to the problem
$\frac{3}{4}x^{4}\left(6x^5-7x^4-11x+6\right)+4x^{3}\left(6x^5-7x^4-11x+6\right)+\frac{9}{2}x^2\left(6x^5-7x^4-11x+6\right)-7x\left(6x^5-7x^4-11x+6\right)-\frac{77}{2}x^2+\frac{33}{2}x^{3}+11x^{4}-37.55x^{5}+56x^{6}-\frac{23}{7}x^{7}-\frac{99}{8}x^{8}-\frac{5}{2}x^{9}+C_0$