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integrate cos^2(x)*sin(x)

integral of cos 2 (x)*sin(x) we notice that we can use the spot the ball method here: Guessed integral: cos 3 (x) Differentiated Guessed Integral: -3sin(x)cos 2 (x), therefore our solution is (-1/3)*cos 3 (x)+c
CP
Answered by Cezar P. • Maths tutor
9171 Views

If a=2 and b=3 , find the value of 2(a−b)+3(a+b)

My explanation would depend on the level of understanding of the person but one way would be the following: We know that a = 2. Substitute the value of "a" in the given equation: 2(2-b)+3(2+b) We k...
AC
Answered by Andrea C. • Maths tutor
15295 Views

Can you help me solve the equation x^2+3x-5

We can see right off the bat that this is a quadratic equation. As always with quadratics, it is easiest to see if it factorises first. To factorise, you need to find two numbers that multiply together to cr...
MS
Answered by Mollie S. • Maths tutor
5134 Views

Solve for the coordinates where lines A and B intersect. A: y=x+4 B: y=0.5x+3.5

The point of intersection is a point where the variables y and x will be the same in both A and B equations. This is because the point of intersection has the same coordinates for both lines. So Y A = Y B an...
HP
Answered by Harvey P. • Maths tutor
4966 Views

Solve the equation: 5^(2x+1) = 7, giving your answer correct to four decimal places.

First, we take logs of both sides: log(5^(2x+1))=log(7) Now, using the 3rd law of logs (index rule; using the power as the coefficient), we get: (2x+1)log(5)=log(7) i.e. 2x+1 = (log(7))/(log(5)) = 1.20906......
MS
Answered by Mohamad S. • Maths tutor
10067 Views