((4x,2x+2,3x+3" fortre "stan7(1)/(8)pi" and "44],[[" (a) "27," (b) "-27," (c) "13.5," (d) "-13.5]])/([" 3."4))

If x=(sqrt(3)+1)/(2), find the value of 4x^(3)+2x^(2)-8x+7

The value of int_(-(pi)/(4))^((pi)/( 4)) ((2x^(7) - 3x^(5) + 7 x^(3) - x+1)/(cos^(2)x)) dx is

((1-2x) / (7))-((2-3x) / (8)) = (3) / (2) + (x) / (4)

int _ (- (pi) / (2)) ^ ((pi) / (2)) sin ^ (10) x (6x ^ (9) -25x ^ (7) + 4x ^ (3) -2x) dx =

Find each of the following products: (i) (x + 3) (x - 3) (ii) (2x + 5)(2x - 5) (ii) (8 + x)(8 - x) (iv) (7x + 11y) (7x - 11y) (v) (5x^(2) + (3)/(4) y^(2)) (5x^(2) - (3)/(4) y^(2)) (vi) ((4x)/(5) - (5y)/(3)) ((4x)/(5) + (5y)/(3)) (vii) (x + (1)/(x)) (x - (1)/(x)) (viii) ((1)/(x) + (1)/(y)) ((1)/(x) - (1)/(y)) (ix) (2a + (3)/(b)) (2a - (3)/(b))

The roots of the equation 8x^(3)-4x^(2)-4x+1=0 " are " cos""pi/7, cos""(3pi)/7 " and " cos""(5pi)/7 . Evaluate sec""pi/7+sec""(3pi)/7+sec""(5pi)/7

Prove that the roots of the equation 8x^(3)-4x^(2)-4x+1=0 " are " cos""pi/7, cos""(3pi)/7 " and " cos""(5pi)/7 . Evaluate sec""pi/7+sec""(3pi)/7+sec""(5pi)/7

Prove that the roots of the equation 8x^(3)-4x^(2)-4x+1=0 " are " cos""pi/7, cos""(3pi)/7 " and " cos""(5pi)/7 . Evaluate sec""pi/7+sec""(3pi)/7+sec""(5pi)/7

lim_ (x rarr pi / 2) ((1-sin x) (8x ^ (3) -pi ^ (3)) cos x) / ((pi-2x) ^ (4))

lim_ (x rarr-oo) (x ^ (5) tan ((1) / (pi x ^ (2))) + 3 | x | ^ (2) +7) / (| x | ^ (3) + 7 | x | +8)