Given below are two statements. STATEMENT - 1: x^ 9 / 2 1+x^ 11 d x is equal to 2 11 |x^…
Mathematics · JEE Main · NTA Exams — Integral Calculus
Given below are two statements.
STATEMENT - 1: \(\int \frac{x^{9 / 2}}{\sqrt{1+x^{11}}} d x\) is equal to \(\frac{2}{11} \log \left|x^{11 / 2}+\sqrt{1+x^{11}}\right|+c\)
STATEMENT - 2: \(\int \frac{d x}{\sqrt{1+x^{2}}}=\log \left|x+\sqrt{1+x^{2}}\right|+c\)
In the light of the above statements, choose the correct answer from the options given below:
- Statement - 1 is true, Statement - 2 is true and Statement - 2 is correct explanation for Statement - 1
- Statement - 1 is true, Statement - 2 is true but Statement - 2 is not correct explanation for Statement - 1
- Statement - 1 is true, Statement - 2 is false
- Statement - 1 is false, Statement - 2 is true.
Answer
(B) Statement - 1 is true, Statement - 2 is true but Statement - 2 is not correct explanation for Statement - 1
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The solution for x of the equation _ 2 ^ x d t t t^ 2 -1 = 12 is
- The value of _ 1 ^ a [ x ] f ´ (x) dx, a > 1, where [x] denotes the greatest integer not exceeding x, is
- The value of _ 0 ^ | ^ 3 | d is,
- _ 0 ^ 2 x ^ 2 x ^ 2 x d x is equal to
- If _ 1 and _ 2 be respectively the smallest and the largest values of in (0,2 )-( ) which satisfy the…
- Evaluate x^ 8 (1-x^ 3 )^ 1 3 d x
- Let f:(0, ) R and F(x)= _ 0 ^ x f(t) d t If F [ x ^ 2 ]= x ^ 2 (1+ x ) . then f(4) equals
- If f(y)=e^ y . g(y)=y: y>0 F(t)= _ 0 ^ t f(t-y) g(y) d y , then
More Integral Calculus questions · Browse all practice questions