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I don't fully understand the purpose of integration. Could you please explain it to me?

I have written "..." where I imagine the student is replying. I have then provided prompts assuming that the student did not come up with the answer straight away. The scenario could be very differ...
RL
Answered by Rebecca L. • Maths tutor
3302 Views

Integrate (sin(2x) + e^(2x+3))dx

1/2cos(2x) +1/2e^(2x+3) + C
HT
Answered by Hazel T. • Maths tutor
3752 Views

Asha and Lucy sell pencils. Asha sold 7 boxes, and 22 singles. Lucy sold 5 boxes, and 2 singles. Given Asha sells twice as many pencils as Lucy, work out how many questions are in each box.

Asha: 7 boxes, 22 singlesLucy: 5 boxes, 2 singlesAsha, 2x as many as Lucy A = 2(5b +2) = 10b + 4L= 5b + 210b+4=7b+223b=18b=6
TE
Answered by Tara E. • Maths tutor
4881 Views

For a graph C with equation y=3/(5-3x)^2, find the the equation of the line normal to the graph at point P, where x=2. Give your answer in the form ax+by+c=0

Find out the value of the y coordinate where x=2y=3/(5-3(2))^2=3Differentiate function in order to find the gradient of the graph at point Py=3/(5-3x)^-2Use chain rule where u=5-3xdu/dx=-3dy/dx=3u^-2Hence dy...
JI
Answered by Jazib I. • Maths tutor
4858 Views

3 teas and 2 coffees have a total cost of £7.80 5 teas and 4 coffees have a total cost of £14.20 Work out the cost of one tea and the cost of one coffee.

3t + 2c = 7.80 ---> x2 to get 6t + 4c = 15.605t + 4c = 14.20 6t + 4c = 15.60-- 5t + 4c = 14.20= 1t = 1.40If t = 1.40 substitute t in to the equation to get:(3 x 1.40) + 2c = 7.80 ---> 2c = 3.60 --> ...
HK
Answered by Hania K. • Maths tutor
3214 Views