Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine Problem 45
Compute the indefinite integrals. $$ \int \frac{2 x^{2}+x}{\sqrt{x}} d x $$
Problem 45
In Problems , use an area formula from geometry to find the value of each integral by interpreting it as the (signed) area under the graph of an appropriately chosen function. $$ \int_{-1}^{2}(2-|x|) d x $$
Problem 45
Find the volumes of the solids obtained by rotating the region bounded by the given curves about the \(x\) -axis. In each case, sketch the region and a typical disk element. \(y=x^{2},-1 \leq x \leq 1\)
Problem 46
Compute the indefinite integrals. $$ \int \frac{x^{3}+3 x^{2}}{2 \sqrt{x}} d x $$
Problem 46
In Problems , use an area formula from geometry to find the value of each integral by interpreting it as the (signed) area under the graph of an appropriately chosen function. $$ \int_{0}^{2}|x-1| d x $$
Problem 46
Find the volumes of the solids obtained by rotating the region bounded by the given curves about the \(x\) -axis. In each case, sketch the region and a typical disk element. \(y=\sqrt{1-x^{2}}, 0 \leq x \leq 1, y=0\)
Problem 47
Compute the indefinite integrals. $$ \int x^{2} \sqrt{x} d x $$
Problem 47
In Problems , use an area formula from geometry to find the value of each integral by interpreting it as the (signed) area under the graph of an appropriately chosen function. $$ \int_{0}^{2}(2+x) d x $$
Problem 47
Find the volumes of the solids obtained by rotating the region bounded by the given curves about the \(x\) -axis. In each case, sketch the region together with a typical disk element. \(y=x^{2}, y=x, 0 \leq x \leq 1\)
Problem 48
Compute the indefinite integrals. $$ \int\left(1+x^{3}\right) \sqrt{x} d x $$
