Recent content by turutk

thank you for your answer. this question seems to be too long but i managed to solve it.

Homework Statement \int sin^2x cos^4x dx Homework Equations The Attempt at a Solution tried: sin2x formula writing 1-cos^2 instead of sin^2x letting u=sinx letting u=cosx no luck yet

okay i got it. thank you all for your help

since i am very new to the topic i have no idea how to do integration by substitution. we are trying to work derivatives backwards.

Homework Statement \int\sqrt{sinx}*cos^3x Homework Equations The Attempt at a Solution by writing as root(sinx) (1-sin^2(x)) (cosx) i can solve but since the worksheet is called basic techniques of integration i am looking for an easier and more obvious solution if possible...

thank you very much for your help. at least i succeed

Homework Statement integrate 3^(log(base4)x) Homework Equations The Attempt at a Solution i tried to write it in different ways. couldn't solve. i tried to divide the whole thing by ln3 and then add some more constants to cancel out the remainings. still i could not cancel out the x in the...

names of 8 people are put into a box and 2 cards are drawn. so it can be woman-woman, woman-man, man-woman, man-man

i thought it wouldn't matter but now i think that i need to multiply 1/12 by 2. also i got the solution. 4 married couples could be drawn. a total of 8C2 can be drawn. 4/8C2 = 1/7 thanks for your answer

Homework Statement Names of 8 people (4 married couples) are written down to equally sized papers. Two carbilds are drawn. What is the probability of drawing a married couple? (it is not specified if the cards were drawn at the same time or one-by-one) Homework Equations na The...

now everything makes sense. thank you for your answers

turns out it is zero: http://www.wolframalpha.com/input/?i=the+limit+of+%28greatest+integer%28sinx%29%29%2Fgreatest+integer%28x%29+as+x+approaches+to+2 i still cannot explain

at first thank for your help i believe so. while x is approaching 1 from + side the denominator gets closer to 0 which makes the limit positive infinity as x approaches 1+ while x is approaching 1 from - side, the limit becomes negative infinity. one side of x=1 goes to -infinity the...

does that mean limit does not exist?

Homework Statement The limit of \frac{8x^3+x^2-5x}{3x^4-5x^2+2} as x goes to 1Homework Equations Evaluate this limit algebraically.The Attempt at a Solution Tried using 1 instead of x. The denominator becomes 0. Divided denominator by (x-1) but couldn't continue.