Mathematics

$$\displaystyle \int_{0}^{1} \ x+x^2 dx$$


SOLUTION

$$\displaystyle \int_{0}^{1} \ x+x^2 dx$$

$$=\left.\dfrac {x^2}2+\dfrac {x^3}3\right]_0^1 $$ 

$$=\dfrac 12+\dfrac 13=\dfrac 56 $$

View Full Answer

Its FREE, you're just one step away


Subjective Medium Published on 17th 09, 2020
Next Question
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 84
Enroll Now For FREE

Realted Questions

Q1 Subjective Medium
Evaluate:- $$\int \dfrac{e^{2x} - 1}{e^{2x} + 1}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q2 Subjective Medium
$$Evaluate\;:\;\int_{ - \dfrac{\pi }{2}}^{\dfrac{\pi }{2}} {{{\sin }^7}x\;dx} $$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q3 Single Correct Medium
The value of $$\int_{a}^{b}(x-a)^{3}(b-x)^{4} d x$$ is
  • A. $$\dfrac{(b-a)^{4}}{6^{4}}$$
  • B. $$\dfrac{(b-a)^{7}}{7^{3}}$$
  • C. None of these
  • D. $$\dfrac{(b-a)^{8}}{280}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q4 Single Correct Medium
$$\displaystyle \int_{0}^{1}\frac{4x^{3}}{\sqrt{1-x^{8}}}dx =?$$
  • A. $$\pi$$
  • B. $$-\pi$$
  • C. $$- \pi /2$$
  • D. $$\pi /2$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q5 Subjective Easy
Evaluate $$\int \dfrac{e^x-e^{-x}}{e^x+e^{-x}}dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer