Problem 5
In Problems 1-16, perform the indicated integrations. \(\int_{1}^{2} \frac{d t}{\sqrt{t}+e}\)
Problem 5
Use the method of partial fraction decomposition to perform the required integration. \(\int \frac{x-11}{x^{2}+3 x-4} d x\)
Problem 5
Perform the indicated integrations. $$ \int_{0}^{\pi / 2} \cos ^{5} \theta d \theta $$
Problem 5
$$ \text { use integration by parts to evaluate each integral. } $$ $$ \int x \cos x d x $$
Problem 5
Evaluate the given integral. $$ \int \cos ^{4} 2 x d x $$
Problem 5
Solve each differential equation. $$ \frac{d y}{d x}-\frac{y}{x}=x e^{x} $$
Problem 5
Perform the indicated integrations. $$ \int \frac{d x}{x^{2}+4} $$
Problem 6
Perform the indicated integrations. $$ \int \frac{e^{x}}{2+e^{x}} d x $$
Problem 6
In Problems 1-16, perform the indicated integrations. \(\int_{0}^{1} \frac{\sqrt{t}}{t+1} d t\)
Problem 6
Evaluate the given integral. $$ \int \sin ^{3} x \cos x d x $$
