{(x^(-5))^((2)/(3))}^((-3)/(10))

(3^((1)/(5)))^(x)+(3^((1)/(10)))^(x-10)=84

Simplify :((8)/(5)x(-3)/(2))+((-3)/(10)x(11)/(16))

Prove that: (2^((1)/(2))x3^((1)/(3))x4^((1)/(4)))/(10^(-(1)/(5))x5^((3)/(5)))-:(3^((4)/(3))x5^(-(7)/(5)))/(4^(-(3)/(3))x6)=10

Simplify :((-3)/(2)x(4)/(5))+((9)/(5)x(-10)/(3))-((1)/(2)x(3)/(4))

If (d)/(dx) (2x^(3)-5)^(10)=(2x^(3)-5)^(9)f(x) , then f(x) is -

3x-5x^(2)+12 has maximum at x= (i) (2)/(5)(ii)-(2)/(5)(iii)(3)/(10)(iv)-(3)/(10)

(x-2)/(x-3)+(x-4)/(x-5)=(10)/(3);x!=3,5

Solve by factorization: (x-2)/(x-3)+(x-4)/(x-5)=(10)/(3);quad x!=3,5

The integral int(2x^(12)+5x^(9))/([x^(5)+x^(3)+1]^(3))*dx is equal to- (A) (x^(10))/(2(x^(5)+x^(3)+1)^(2))(B)(x^(5))/(2(x^(5)+x^(3)+1)^(2))(C)-(x^(10))/(2(x^(5)+x^(3)+1)^(2))(D)-(x^(5))/(2(x^(5)+x^(3)+1)^(2))

coefficient of x^(5) in (1+x+x^(2)+x^(3))^(10) is