Exercises from public domain textbooks. Solutions where provided do not necessary follow the same lines as the original.

Solutions are not given for exercises whose number is not linked

Some exercises which do not have a textbook solutions are worked: beware of errors.

Evaluate the integral. Check by differentiation.

#### D80-1a. {$\displaystyle \int x^3 dx $}

worked

#### D80-1b. {$\displaystyle \int (2x - x^2) dx $}

worked

#### D80-1c. {$\displaystyle \int (1-4t^4) dt $}

worked

#### D80-1d. {$\displaystyle \int (1 + y^2) dy $}

worked

#### D80-1e. {$\displaystyle \int {{dx} \over {x^2}} $}

worked

#### D80-1f. {$\displaystyle \int (\sqrt x - {2 \over {\sqrt x}}) dx $}

worked

#### D80-2. {$\displaystyle \int {{dx} \over x} $}

worked

#### C98-1. {$\displaystyle \int (1-x)(1+x^2)dx $}

worked

#### C98-2. {$\displaystyle \int {{1+2x+3x^2} \over x^3}dx $}

worked

#### C98-3. {$\displaystyle \int (a+bx)^2 dx $}

worked

#### C98-4. {$\displaystyle \int {{(3x-2)^2} \over x^2} dx $}

worked

#### C98-5. {$\displaystyle \int (e^x - e^{-x})^2dx $}

worked

#### C98-6. {$\displaystyle \int {{x^{3 \over 2} -4x^{1 \over 3}} \over x}dx $}

worked

#### C98-7. {$\displaystyle \int (1-2x)^2\sqrt x dx $}

worked

#### C98-8. {$\displaystyle \int (x^3 - 2)(x^{1 \over 2} + x^{2 \over 3}) dx $}

worked

#### D80-3. {$\displaystyle \int \sin\theta d\theta $}

#### D80-4. {$\displaystyle \int \sin 2\theta d\theta $}

#### D80-5. {$\displaystyle \int \sqrt{x+1} dx $}

#### D80-6. {$\displaystyle \int \sqrt{1-x} dx $}

#### D80-7. {$\displaystyle \int e^{2x} dx $}

#### D80-8. {$\displaystyle \int (1+2x)^3 dx $}

#### D80-9. {$\displaystyle \int x\sqrt{a^2 + x^2} dx $}

*Sources:*

*Elements of the Differential and Integral Calculus* **Wikisource**
*Calculus Made Easy* by Silvanus P. Thompson **Project Gutenberg**
- Davis,Ellery Williams, William Charles Brenke, Earle Raymond Hedrick.
*The Calculus* (Macmillan Company, 1922) Google Books
- Love, Clyde E., Earl David Rainville
*Differential and Integral Calculus* (Macmillian, 1916) Google Books

*Recommended:*

**Category:** Math Calculus Integration

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