Find the indefinite integrals:
a) {eq}\int x^3 \ln x dx{/eq}
b) {eq}\int \sin(4x)\cos(6x)dx{/eq}
Question:
Find the indefinite integrals:
a) {eq}\int x^3 \ln x dx{/eq}
b) {eq}\int \sin(4x)\cos(6x)dx{/eq}
Indefinite Integral:
Indefinite Integral:
We know that indefinite integral can be expressed without upper and lower limits and contain an arbitrary constant {eq}C {/eq} in the result. The indefinite integral can be evaluated using a common method known as the u-substitution. This method entails to the substitution of a function into another variable where the final answer is expressed in terms of the original variable.
Answer and Explanation: 1
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View this answera) Given the function, we can evaluate the integral by using integration by parts. The integration by parts is defined as,
{eq}\begin{align} uv-\int...
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Chapter 7 / Lesson 14Learn the concept and rules of indefinite and definite integrals, as well as how to find an indefinite integral through examples. View a table of integrals.