7. Antiderivatives & Indefinite Integrals

Evaluate the integral. (Use $c$ for the constant of integration.) $\int x{x}^4+16dx$

Using an upper-case C for any arbitrary constants, find the general indefinite integral: ${\int }_{}^{}{x}^{2}dx$ =

Evaluate the indefinite integral: $0.75x^2-16x^2 dx$

Evaluate the integral. (Use c for the constant of integration.) ${\int }_{}^{}{(\ln x)}^{2}dx$

Evaluate the integral. (Use c for the constant of integration.) $\int 9{\sin }^2\left(x\right){\cos }^3\left(x\right) dx$

Evaluate the indefinite integral: $\int (2x^2+3x+1)dx$

Which of the following expressions is equivalent to the indefinite integral ${\int }_{}^{}(5x^3+11x+2)dx$?

Find the general indefinite integral. (Use c for the constant of integration.) $8x^{9}dx$

Evaluate the indefinite integral: $\int 9x^2 dx$

Evaluate the indefinite integral as an infinite series: $\int arctan\left(x^4\right) dx$

Evaluate the indefinite integral as a power series: $\int \frac{1}{1-t^7} dt$.

Evaluate the indefinite integral. (Remember the constant of integration.) $\int ln\left(x\right) dx$

Evaluate the indefinite integral: $\int cos\left(6t\right) dt$

Evaluate the integral. (Use c for the constant of integration.) $\int wln\left(w\right)dw$

7-56. Trigonometric substitutions Evaluate the following integrals using trigonometric substitution.

16. ∫ x²/(25 + x²)² dx