Problem 10
Perform the indicated integrations. $$ \int \sin ^{1 / 2} 2 z \cos ^{3} 2 z d z $$
Problem 10
Solve each differential equation. $$ \frac{d y}{d x}+2 y=x $$
Problem 10
Perform the indicated integrations. $$ \int_{0}^{4} \frac{5}{\sqrt{2 t+1}} d t $$
Problem 10
$$ \text { use integration by parts to evaluate each integral. } $$ $$ \int t \sqrt[3]{2 t+7} d t $$
Problem 11
Perform the indicated integrations. $$ \int_{0}^{\pi / 4} \frac{\tan z}{\cos ^{2} z} d z $$
Problem 11
Solve each differential equation. $$ \frac{d y}{d x}-\frac{y}{x}=3 x^{3} ; y=3 \text { when } x=1 $$
Problem 11
In Problems 1-16, perform the indicated integrations. \(\int \frac{d x}{\left(x^{2}+4\right)^{3 / 2}}\)
Problem 11
Use the method of partial fraction decomposition to perform the required integration. \(\int \frac{17 x-3}{3 x^{2}+x-2} d x\)
Problem 11
Use Euler's Method with \(h=0.2\) to approximate the solution over the indicated interval. $$ y^{\prime}=2 y, y(0)=3,[0,1] $$
Problem 11
Evaluate the given integral. $$ \int_{-\pi / 2}^{\pi / 2} \cos ^{2} x \sin x d x $$
