Question

asked 2021-05-28

Evaluate the following integral.

\(\int \frac{3x^{2}+\sqrt{x}}{\sqrt{x}}dx\)

\(\int \frac{3x^{2}+\sqrt{x}}{\sqrt{x}}dx\)

asked 2021-05-23

Use a change of variables to evaluate the following integral.

\(\int-(\cos^{7}x-5\cos^{5}x-\cos x)\sin x dx\)

\(\int-(\cos^{7}x-5\cos^{5}x-\cos x)\sin x dx\)

asked 2021-05-23

Find the indefinite integral \(\int \ln(\frac{x}{3})dx\) (a) using a table of integrals and (b) using the Integration by parts method.

asked 2021-05-23

Evaluate each of the following integrals.

\(\int\frac{e^{x}}{1+e^{x}}dx\)

\(\int\frac{e^{x}}{1+e^{x}}dx\)