7. Antiderivatives & Indefinite Integrals

Evaluate the integral. (Use c for the constant of integration.) $\int \ln \left(x\right) dx$

Evaluate the indefinite integral: ${\int }_{}^{}\frac{5}{1+x^2}dx$

Evaluate the indefinite integral as an infinite series: ${\int }_{}^{}\frac{(cosx-1)}{x}dx$.

Find the general indefinite integral. (Use c for the constant of integration.) $4x^5 \int dx$

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: $\int (2x^2+3x+1)dx$

Find $h\(\left\)(x\(\right\))$ by evaluating the following indefinite integral.

$h\(\left\)(x\(\right\))=x^{100}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.) $8x^{9}dx$

Find $h\left(x\right)$ by evaluating the following indefinite integral.

$h\left(x\right)=\int x^{8}dx$

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