weloo
(a)find antiderivatives for the following functions :
(i) e^5x sinh3x + 4x+6/x^2+3x+5 .
(ii)root3x(x^2-2/x+1).
(b)Evaluate the following integrals over the given intervals:
(i)4/2x-1 - 3/x+4 over [1,3]
(ii)cosh 3x-sinh4x over [0, ln2]
(c)A particle is moving from rest with an acceleration a(t)=3root t+1 m/sec^2
(i)Find the velocity of the particle after 25 seconds .
(ii)Find the total distance travelled by the particle in the first 16 seconds.
Add in a few parentheses to make sure it's clear what you want, and then go over to wolframalpha . com and enter
integral e^(5x) sinh(3x) + (4x+6)/x^2+3x+5
It will show you the answer. Click the "Show Steps" button for details.
For definite integrals, enter
integral 4/(2x-1) - 3/(x+4), x=1..3
You get the answer, but no steps. Take away the interval to get the steps of the indefinite integral