1) the definite integral from 0-1 of e^sqrtx\sqrtx
2) indefinite integral of x+2/(sqrt(4-x^2)) (4-x^2 is all under the square root sign)
3) i wont use the ^ to denote exponents on this one to avoid confusion, but all numbers are exponents
indefinite integral of cos3x-sin2/cos2x
4) find the slope and the tangent line to the curve y=ln(xe^x) at the point x=3
5) solve for x: 2^3x-1=5
these are the 5 problems i need to do correctly and turn in tommarow to be done with my class, if anyone can post them up real quick step by step i would appreciate it
1) make the substitution .
For the first, make the substitution . The second is a standard form that you should know or look up.
3) cos3x-sin2/cos2x contains a typo. Please re-post the correct exprssion.
4) m = dy/dx. Note that and each term is easily differentiated.
When . You have a point and a gradient so it should be straightforward to get the equation of the line.
5) 2^3x-1=5 is ambiguous. Is it 2^(3x)-1=5 or 2^(3x-1)=5. Please re-post more clearly.
Edit: Please note what is said in post #2. If you need more help you will need to show some significant effort.