Final Answer
$\frac{61}{63}x^{4}+C_0$
Got another answer? Verify it here!
Step-by-step Solution
Problem to solve:
$\int\sqrt{4+11}x^3dx$
Specify the solving method
1
Simplify the expression inside the integral
$\int\sqrt{15}x^3dx$
Learn how to solve integrals with radicals problems step by step online.
$\int\sqrt{15}x^3dx$
Learn how to solve integrals with radicals problems step by step online. Integrate int(x^3(4+11)^1/2)dx. Simplify the expression inside the integral. The integral of a function times a constant (\sqrt{15}) is equal to the constant times the integral of the function. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as 3. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.
Final Answer
$\frac{61}{63}x^{4}+C_0$