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How do I integrate 4x*exp(x^2 - 1) with respect to x?

During the session I would go step by step through the integration by substitution.

Answered by Anmol S. • Maths tutor

2850 Views

In a school 2/5 students play an instrument. Of those students 3/7 play the violin. Find the ratio of students who play the violin compared to the students who do not play the violin.

First step: Find the number of students out of the whole school who play the violin. 2/5 x 3/7= 6/35 (Simplest version of the fraction) Take the denominator to represent the number of students in...

Answered by Neha B. • Maths tutor

2512 Views

Find the coordinates of the point of intersection of the lines 2x + 3y = 12 and y = 7 - 3x.

We can substitute the equation for y into 2x + 3y = 12.
If y = 7-3x , 2x + 3(7-3x) = 12 2x + 21-9x = 12
Now we can solve for x -7x = =-9x = 9/7
To get y, we must sub x back into y = 7 - ...

Answered by Chrystine A. • Maths tutor

7405 Views

Integrate (1 - x^2)^(-0.5)dx within the limits 0 and 1

The answer is π/2. The key trick to solving this problem is to change variables by using the substitution x = sin(θ). We then need to change the differential and the limits too.

Answered by Cameron W. • Maths tutor

3132 Views