4.04 Further anti-differentiation

Interactive practice questions

Find $\int\left(x-5\right)^4dx$∫(x−5)4dx, with $c$c as the constant of integration.

Easy

1min

Find $\int\frac{1}{\left(x+5\right)^4}dx$∫1(x+5)4dx, with $c$c as the constant of integration.

Easy

1min

Find $\int9\left(x+2\right)^2dx$∫9(x+2)2dx, with $c$c as the constant of integration.

Easy

1min

Find $\int\frac{6}{\left(x-2\right)^3}dx$∫6(x−2)3dx, with $c$c as the constant of integration.

Easy

1min

establish and use the formula ∫x^n dx=1/(n+1) x^(n+1)+c for n≠−1

establish and use the formula ∫e^x dx=e^x+c

establish and use the formulas, ∫sin⁡xdx=−cos⁡x+c and ∫ cosx dx =sinx +c