`int x^-7dx`

Find the following integrals. 1. int 3x^(7)dx 2. int 4 sqrt(x)dx 3. int(dx)/(sqrt(x)) 4. int(x^(3)-5x^(2)+7x-11)dx 5. int 3 xdx 6. int 5x^(2)dx 7. int(1)/(2)x^(3)dx

Evaluate the integrals. (i) int 2x^(7) dx

Evaluate: int(x^7)/(x+1)\ dx

int(3 -7x)^(5) dx

Evaluate: int(x^2+7x+10)\ dx

Evaluate int\ x^7+sin2x\dx

Evaluate the following integrals : (i) int x^(15)dx (ii) int x^(-3//2)dx (iii) int(3x^(-7)+x^(-1))dx (iv) int(sqrt(x)+(1)/sqrt(x))^(2)dx (v) int(x+(1)/(x))dx (vi) int((a)/(x^(2))+(b)/(x))dx (a and b are constant)

int (x^2-3)/(x^2-7x+6)dx

Evaluate int(7x^2-5x)\dx

Evaluate: (i) int(x^3-3x^2+5x-7+x^2\ a^x)/(2x^2)\ dx (ii) int(cosx)/(1+cosx)\ dx