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Section 5.7 : Computing Definite Integrals
- Evaluate each of the following integrals.
- ∫cos(x)−3x5dx
- ∫4−3cos(x)−3x5dx
- ∫41cos(x)−3x5dx
Evaluate each of the following integrals, if possible. If it is not possible clearly explain why it is not possible to evaluate the integral.
- ∫6112x3−9x2+2dx Solution
- ∫1−25z2−7z+3dz Solution
- ∫0315w4−13w2+wdw Solution
- ∫418√t−12√t3dt Solution
- ∫2117z+3√z24−12z3dz Solution
- ∫4−2x6−x4+1x2dx Solution
- ∫−1−4x2(3−4x)dx Solution
- ∫122y3−6y2y2dy Solution
- ∫π207sin(t)−2cos(t)dt Solution
- ∫π0sec(z)tan(z)−1dz Solution
- ∫π3π62sec2(w)−8csc(w)cot(w)dw Solution
- ∫20ex+1x2+1dx Solution
- ∫−2−57ey+2ydy Solution
- ∫40f(t)dt where f(t)={2tt>11−3t2t≤1 Solution
- ∫1−6g(z)dz where g(z)={2−zz>−24ezz≤−2 Solution
- ∫63|2x−10|dx Solution
- ∫0−1|4w+3|dw Solution