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Find dy/dx for y=x^2 * sin(x)

To answer this question we observe that y is the product of x^2 and sin(x), so we use the product rule. Then dy/dx = 2x * sin(x) + cos(x) * x^2 The resulting equation can be tidied up by factoring out x and ...
JH
Answered by Jake H. • Maths tutor
8902 Views

Find the integral of x^2e^x

To solve this integral you should use the integration by parts formula, which is uv - integral of vu'. First let x^2 be u, therefore u'(the differential of x^2) = 2x, v' = e^x and therefore v (integral of e^...
JG
Answered by Jade G. • Maths tutor
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find the integral between the limits 0 and pi/2 of sin(x)cos(x) with respect to x.

1/2
JP
Answered by Joe P. • Maths tutor
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How do I integrate ln(x), using integration by parts?

This is a common question among A-Level Maths students, as integration by parts requires 2 things: 1. Something to integrate ; 2. Something to differentiate. In ln(x), we can immediately see that ln(x) is th...
MK
Answered by Mustafa K. • Maths tutor
4228 Views

Find the 12th term and the sum of the first 9 terms on the following Arithmetic Progression: a = 2 and d = 3

12th term = a + (12 - 1)*d = 2 + 11(3) = 35 Sum (9) = 9/2 [2(2) + (9 - 1)*3] = 9/2 [28] = 252/2 = 126
ER
Answered by Elijah R. • Maths tutor
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