Search over 10,000 free study notes

Using the substitution u = x³+1 the answer can be found 

(x³+1)⁷/7 + C

A quadratic equation has two equal roots when its discriminant is equal to 0. Calculating the discriminant of the given equation: D = k² - 4(k-1)(2k-3) = k² - 8k²+20k-12...

Ben: 5 apples and 3 pears costing £3.70, therefore: 5a + 3p = 3.7. Jenny: 6 apples and 6 pears costing £5.40, therefore: 6a + 6p = 5.4. (1) 5a + 3p = 3.7, (2) 6a + 6p = 5.4. Multiply equation (1) by 2: 10...

a) Substituting the coordinate (1,1) into the left hand side of the equation for C we obtain: (1³) + 3*1 - 4(1³)(1³) = 1 + 3 - 4 = 0 = The right hand side of the equation,...

tan(x)/sec²(x) Sec(x) = 1/cos(x), therefore 1/sec(x) = cos(x). also tan(x) = sin(x)/cos(x).using substitution, tan(x)/sec²(x) = (sin(x)/cos(x)) * cos²(x) = sin(x)cos(x). s...